diff --git "a/data/dm_maths/full_data_2/10415_11255.jsonl" "b/data/dm_maths/full_data_2/10415_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10415_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Round -48.06 to zero decimal places.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (182\/(-56))\/(-2 - 7\/(-4)). Which is bigger: m or 7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 6*d**2 - 13*d - 16. Let f(k) = 6*k + 56. Let b be f(-10). Let w be y(b). Factor 0 + 0*l - 1\/4*l**3 - 1\/4*l**w + 1\/2*l**2.\nAnswer: -l**2*(l - 1)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 2:28 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.973613 years?\nAnswer: 0.006973613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 5*p**2 - 8. Let u(o) = -4*o**3 + 15*o**2 + 2*o + 23. Let g(d) = 7*n(d) + 2*u(d). Determine g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -8. Let h = -21 + i. Let t be h\/4 - 52\/(-32). Sort t, 0.2, 0.1 in decreasing order.\nAnswer: 0.2, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/6 - 23*j**3\/6 + 25*j**2\/2 - 77*j\/6 + 13\/3.\nAnswer: -(j - 1)**3*(j + 26)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(2\/3)*w)*w**(1\/5)*w*w*w*w**4*w*w*w**4)**(2\/25) assuming w is positive.\nAnswer: w**(376\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 h when three letters picked without replacement from {h: 1, q: 6, b: 4, j: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.15, 1, -49 in decreasing order.\nAnswer: 1, 0.15, -2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 283945691*j**2 + 258976385*j wrt j.\nAnswer: 567891382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*u + 16, -k + 4*u - 10 = 4. Let z(t) = 11*t + 1. Let v(p) = 5*p + 1. Suppose -82 - 48 = 26*m. What is k*z(o) + m*v(o)?\nAnswer: -3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:32 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1236, 2037, 2360, 2205, 1572?\n\"Answer: -239*w**2 + 1518*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -16*c - 22. Let g(o) = 10*o + 12. Let z(n) = 3*b(n) + 5*g(n). Let v = 10 + -5. Calculate z(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/4 + 124\/(-16). Suppose -2*i = 2*a + a - 28, 26 = 2*a + 5*i. Let s = a + v. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q. Suppose 0*v + 2*d + 116 = 3*v, 5*v + 5*d = 185. Let a(z) be the second derivative of -4*z + v*z**3 - 8*z - 40*z**3. What is x(a(u))?\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - 5*t - 3*z + 1, -4*t = 5*z + 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8486 - 6697. Is v a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03253832*6.\nAnswer: -0.19522992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 - 4 = 21*d. Solve -v = -z - d, v + 5 - 24 = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 21 = -17*i. Let k(c) = 7*c - 8. Let g(j) = 10*j - 12. Give i*k(f) - 5*g(f).\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 15723468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 2:55 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29 - 8*c**3 - 29 + (-c + c + 2*c)*(-2 + 2*c**2 + 2) - 8031*c**3 + 4011*c**3 + 17*c + 4019*c**3 + 4.\nAnswer: -5*c**3 + 17*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v + 623 + 608 - 1289 + 0*v.\nAnswer: -15*v - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 104\/2 - (-6 + 4). Let h be (12\/(-2))\/((-6)\/(-8)). Let k be (3 + (-516)\/h)*2. Calculate the highest common divisor of k and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 10*s**2 + 9*s + 9. Is a(-9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*h**5 - 428*h**4 + 685*h**3 - 1485*h**2 - 39998*h wrt h.\nAnswer: 960*h**2 - 10272*h + 4110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -67. Suppose 0 = 4*p + z*s - 59376, 5*p - 6*p = 4*s - 14841. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(832) - (sqrt(832) + (sqrt(832) + 4)*4)) + 3 + 3 + sqrt(832) + -4)*-3)**2.\nAnswer: 6048*sqrt(13) + 69156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3473 - 128078 = -5*m + 2*c, -m - 5*c = -24948. Suppose 31777 = 3*p - m. Round p to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 3*k - 2. Let d(a) = 3*a**2 + 5*a + 5. Calculate -4*d(b) - 7*z(b).\nAnswer: 2*b**2 + b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 61 - 0.26222251\nAnswer: 60.73777749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -40 - -3) + -14 - (9 + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2 + 163*v - 7. Let t(k) = -2*k**2 + 82*k - 4. Determine 6*d(i) - 11*t(i).\nAnswer: -2*i**2 + 76*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -40*i - 124. Let o(f) = -40*f - 82. Give 3*o(g) - 2*w(g).\nAnswer: -40*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 1461.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**4\/12 + 3*d**3\/2 + 5*d**2\/2 - 2*d. Is n(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-168))\/(45\/252)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:47 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 5*a**2 - 2. Give g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ce + 0?\nAnswer: 5ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 4*j**3 - j**2 - 6*j**3.\nAnswer: j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1418*k**2 + 130 + 1418*k**2 + k**3 - 130.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 8800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2512?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3012*q - 1298*q - 1532*q)*(-6*q - 2*q + 0*q + (0*q + 0*q + 2*q)*(-4 + 3 + 2)).\nAnswer: -1092*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5801?\nAnswer: 5801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -35. Let y(k) = k + 35. Let c(b) = -3*m(b) - 2*y(b). What is the derivative of c(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3722544 and 4928?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 2. Let m(k) = 2*k**2 - 3*k + 2. Let s(i) = 3*i**2 - 4*i + 4. Let l(n) = -8*m(n) + 5*s(n). Let a be l(u). Solve 3*y = 7*y - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/20*3*(-2)\/3*-1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000388026 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i + 24 = 0. Sort -2, i, -4 in descending order.\nAnswer: -2, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257444 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 1. Let q(f) = -f**2 - 2*f + 1. Let y be q(-2). Let b(c) = c**2 + c + 2. Let o(x) = y*b(x) - 2*r(x). Solve o(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -568245, 1, -1, -5, -2 in descending order.\nAnswer: 1, -1, -2, -5, -568245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = 5*u - 21 + 47, -u - 12 = -5*w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**(-27)*w**(-1\/5)*w*(w**(-2\/9)*w*w*w*w)\/w assuming w is positive.\nAnswer: w**(2591\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*u + 54 + 3, 0 = -5*u + 15. Suppose -m + 3*y = 8*y + 9, -2*y = 4*m + v. Sort 1, m, 4 in descending order.\nAnswer: 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from tuttuuuuuuuutu.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010101011 (base 2) to base 9.\nAnswer: 11054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1145\/3 or -383?\nAnswer: -383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 126236885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/8830 and 63\/218984.\nAnswer: 1094920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -10, 4, 36, 92, 178?\n\"Answer: p**3 - 5*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) -123 (c) 162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {h: 1, b: 2, e: 2, m: 11, l: 1, p: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 79 + 29. Suppose 0 = 30*i - u*i - 5. Let n = 3\/89 - -97\/2403. Which is greater: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27888?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*l + q, 0 = 78*l - 92*l - 4*q - 88 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -4.12 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32012203311 (base 4) to base 8.\nAnswer: -16064365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76? (a) -1\/7 (b) 137.36 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -14*((-85)\/95 - (-4)\/(-38)). Calculate the highest common factor of 2198 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from dhh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 - 0.39. Let q be 4\/5*(-10)\/(-28). Put y, 2, q in increasing order.\nAnswer: y, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 7*b**2 - 5*b + 3. Let p(i) = -10*i**2 + 250*i + 56. What is the least common multiple of w(5) and p(25)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggmgmpm. Give prob of sequence mmpm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17712 by -4.\nAnswer: -4428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(6)\/sqrt(2) + 2)**2.\nAnswer: 6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 80 = 8*o - 16*m + 14*m, -2*o + 28 = 5*m for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 7*j + 3*k = -7, 2*j - 5*k - 8 = 0. Let d be (0 + j)*4\/(-14). Which is the closest to d? (a) 5 (b) -0.8 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 2*q**2. Let g(s) = -72*s**3 - 11*s**2 + 1. Let b(r) = g(r) - 6*v(r). What is the third derivative of b(u) wrt u?\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*u**2 + 4*u**6 - 2*u**6 - 2*u**6 - 5*u**6 wrt u.\nAnswer: -600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*k - 61*k + 220*k - 56*k - 55*k + 16838.\nAnswer: -k + 16838","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 0 - 3*f**2 + 1\/120*f**6 - 1\/12*f**4 + 1\/20*f**5 + 0*f + 1\/3*f**3. What is g(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -3*p**4\/2 - 4*p**3\/3 - p**2 + 21. Let z be r(-1). What is the greatest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*n - 25, 0 = -2*n + 4*i + 49 - 9. Solve 0 = -6*j + n*j + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297\/416 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 + 127*g + 48. Give i(-42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l + 104. Let z be j(13). Let a(b) = -b**2 + 8. Calculate a(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -592, 2\/5, 37\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9581*z**5 + 263*z + 7?\nAnswer: 191620*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1341 + 69. Is 1409 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -0.1, 0.31, -2\/7, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -d + 5*d - 2528, -1 = j. Suppose 3*k = 3, -2*k + d = 5*g - 4*k. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = 0, -p = -2*g - 1 + 2. Suppose -3 = -g*k + 1. Solve -4 = 2*x - k*n - 2, -4*x + 2*n - 12 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -11.19. Let z = -0.11 + q. Let w = 0.06 - 1.06. Which is the closest to 0.2? (a) 5\/3 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 2 = 2*l. Suppose -50 = l*b - 19*b. Let o be 3 - (-3 - 72\/b). Is o greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3888 and -27914.326778.\nAnswer: -31802.326778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8432222 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.563 and 6682222.\nAnswer: 6682220.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w - 3. Let j = -102 - -102. Suppose -4*p = 2*l - j*p + 14, 5*p = -15. Let q be (l + 0)\/(4 + 30\/(-8)). Give h(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83718 by -4.\nAnswer: -41859\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-6 - (-15 + 2)) + 1 + -2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/7, -3\/7, 5, -2, 1\/169, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from gzcc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3212, 2\/5, -3\/7 in decreasing order.\nAnswer: 2\/5, -3\/7, -3212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l**3 - l**2 - 2*l - 1. Let g = 76 - 72. Suppose 0 = 11*k + 15 - g. What is z(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.222 - -0.213. Let u = t + -0.035. Round u to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 7, 5.\nAnswer: -22, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*j**2*o*t**2 + 3*j**2*o*t + 3*j**2*t**2 + 10*j**2 + 5*o + 4*t wrt o.\nAnswer: -18*j**2*t**2 + 3*j**2*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 3*t + 1. Let i be v(-4). Let p be 11 + (2 + 1 - (-7 - -15)). Put -5, i, p in descending order.\nAnswer: p, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 134360730 rounded to the nearest 1000000?\nAnswer: 134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6 = -8. Suppose -158*t - 195 = 279. Let o(w) = 11*w**3 - 7*w**2 + 19*w. Let h(f) = -5*f**3 + 3*f**2 - 9*f. Calculate c*h(p) + t*o(p).\nAnswer: 2*p**3 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.8962 rounded to 0 decimal places?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 12*r + 2774. Give x(47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29960 - 29942 + 59877 + 4*n**2 to the form b*n**2 + g + t*n and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**3 + 158230996*w**2 - 1096787155.\nAnswer: -6*w**2 + 316461992*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + n**2 + 60. Suppose 0 = -3*l + l - w + 3, 3*l - 1 = 2*w. Let s = l - -8. Calculate the remainder when v(0) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -23. Let o(h) = -66*h - 9. Let q(j) = -44*j - 6. Let v(r) = a*o(r) - 7*q(r). What are the prime factors of v(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25023, -25024, -25025?\nAnswer: -25026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4306808 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**4\/8 + 5*h**3\/6 - 10*h**2. Let g(n) = 3*n - 6. Give -5*c(d) - 4*g(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 315 + -1a6160?\nAnswer: -1a5946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 4) + -4 - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 167066983?\nAnswer: 167066983.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.238 + -0.562. Let o = -0.096 + -0.044. What is the third biggest value in o, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 37599*y - 18310708. What is t(487)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24.5 times 5\nAnswer: -122.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -656*l**2*p**2*w - 10899*l**2*w + 8*l**2 - 4*l*p**2 - 23079*l*p*w + 319*w wrt l?\nAnswer: -1312*p**2*w - 21798*w + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12521, -49826, -111967, -198938, -310733, -447346, -608771?\nAnswer: -795002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1878695591795 and -0.095.\nAnswer: -1878695591795.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from njjnjjjjjjjjnjj?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -8 - 20. What is the units digit of (-68)\/f + 12\/42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-118)\/(-172))\/(-7 - -6). Let c = d - -6257\/3354. Calculate the common denominator of 180\/40 + (-6)\/8 and c.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - -0.4. Let g = 6 + -5. Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 51.3. Let s = o - 2. Let x = 149 - 145. Which is the closest to -2\/5? (a) x (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 129, -0.4, 377296, 0 in descending order.\nAnswer: 377296, 129, 0, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -83817101 and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -25*q + 1. Let h(n) = 51*n - 2. Let o(w) = 9*c(w) + 4*h(w). Let m be o(-1). Suppose -t + m = t. Calculate the remainder when 18 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6191\/(-755) - (-1)\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - a**2 + a + 1. Let v be h(1). Find the second derivative of -13*t - 13*t**5 + v*t**5 - 7*t wrt t.\nAnswer: -260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 65846.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23582981*d**5 + 15269*d**2 - 99 wrt d.\nAnswer: -1414978860*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1054 = 2089*q - 2093*q, -2*b + q = 2180. Are b and -1093 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - -7. Suppose 5*g - w = -0*g. Calculate the smallest common multiple of 5 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 14) to base 7.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6*x - 8 = 0. What is the remainder when -2 - (104 + 1)\/(-3) is divided by (15\/(-2) + -1)*x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 254709, 510829, 766949?\n\"Answer: 256120*l - 1411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -303, -9, 0.3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 783 = 797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(9)\/(sqrt(3) + sqrt(3) + sqrt(48))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422489?\nAnswer: 271, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3247 = 3*s + 2*v, -2*s - 5*v = -1641 - 542. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(209) + 1*sqrt(209) + sqrt(209)))\/(-1*sqrt(275)).\nAnswer: -18*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 219*c + 2*c**2 - 219*c + 0*c**2. Let b(l) = 10*l. Calculate b(f(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -901, -1693, -2485?\n\"Answer: -792*b - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 496467401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/40*-4)\/(-23))\/1.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p*p**(-1\/3)\/p)\/p*p)**8\/(p**(-1))**37)**(-2\/3))**(-29) assuming p is positive.\nAnswer: p**(7366\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22*(-42)\/(-231))\/((70\/(-170))\/(-7)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76678.24um to nanometers.\nAnswer: 76678240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 942423 divided by 6879.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1137099 is divided by 3488.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 28*w - 106. Calculate r(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooqlwoooo. Give prob of sequence lw.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 94 = n, 2*n + 3*n = -2*d + 424. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1340 and 6?\nAnswer: 8040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j - 55. Let t(k) = -1. Let g(w) = d(w) + 2*t(w). Let i be g(9). Suppose -i = -5*n + 17. What is the lowest common multiple of 18 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 >= -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*s - 15, 2*k - 4*s - 20 = -2*k. Suppose 3*b + 7 = 2*l, 5*b + 12 - 2 = k*l. What is the remainder when 44 - l - (5 - 7) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 601649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 70?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/8 - 25\/24. Let b = -2.1 - 1.9. What is the smallest value in w, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1712 and 45710935.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 31. Let b be v(-9). Solve b - 6 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -65 (b) -0.8 (c) 31 (d) 3 (e) 0.1 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 113322301 (base 4) to base 6\nAnswer: 2033321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -423 - 3027*z + 3119*z + 420 in the form m + o*z and give o.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5*-19787447\nAnswer: -98937235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + l - l**2)*(290*l - 674 - 676 + 1350) to the form a*l**2 + g + r*l**3 + j*l and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(75\/10)*(-3)\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 204570803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddxdddxxddxdx. What is prob of sequence xxxd?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 51469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (18 + (-13 - 0) - (2 - -38))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38339743 - -38339746.5114253. Let c = g + -5.5314134. Let x = -2.02 - c. What is x rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxiwffb. What is prob of sequence mxw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h + 33*h + 35 = 0. What is the hundreds digit of -1 - -277 - (h - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11111?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -16. Let h(j) = -3*j**2 + j - 2. Let z be h(1). Sort q, z, 3 in ascending order.\nAnswer: z, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b10 (base 12) in base 15?\nAnswer: eb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-4)\/(-48))\/(2\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 0, -2*q = -3*r + 6*r - 10. Suppose -q*u + 645 = 5*f, f + f + 4*u = 248. What are the prime factors of f?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12601.4 + -12601. What is the smallest value in -1014, 3, s?\nAnswer: -1014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*b - 25*b - 69*b - 19*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 2*f + 6, 3*f + 21 = 4*w + 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 922559 to the power of 1\/2, to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 43670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 36 = -6*p. Let k(x) = x**2 - 14*x - 18. Let t be k(p). What is the greatest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30071 + -4?\nAnswer: -30075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/3 + 3)*(-14)\/(-2). Calculate the highest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -27. Let h = b - 14. Let j(z) = -z**3 - 6. Let i be j(h). Put -3, i, -1 in increasing order.\nAnswer: i, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -3, 9, 23, 39?\n\"Answer: k**2 + 7*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3266*z**3 - 5*z + 3267*z**3 + z + 4*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 341 + -338. Let n(d) = d + 11. Let v(w) = w + 10. Let s(b) = c*n(b) - 2*v(b). Let p(q) = 6*q**2. What is s(p(k))?\nAnswer: 6*k**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36327*r**2 - 36597*r**2 - 2 + 2.\nAnswer: -270*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/8)\/(-23 + 47890\/2080*1)?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18\/965, -37\/2, -5.1?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1117.642 meters?\nAnswer: 1117642000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 890343493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 8*g - 2. Let j be h(8). Let a = -74 + 235. Is 2 + 2 + j + a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000919538 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 1\/6*i**3 + 33\/20*i**5 - 29*i + 0 - 1\/12*i**4 + 0*i**2. Determine k(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - j - 7 = 0, 5*o = 2*o - 3*j + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -z + 1984, -2*z - 41*b = -44*b - 3970. Calculate the remainder when z is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 41*n**3 - 3*n - 3. Let g(o) = -288*o**3 + 22*o + 22. Calculate 6*g(f) + 44*m(f).\nAnswer: 76*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3262*h**2 + 1073*h - 8103 - 739*h - 334*h wrt h.\nAnswer: -6524*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-16) - (-26)\/8. Sort 12, g, 1 in ascending order.\nAnswer: 1, g, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, i: 4}. What is prob of sequence ii?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-498)\/664)\/((-6)\/(-2))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6937 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 19*r + 1. Suppose 0 = -4*o + 3 + 1, 0 = 3*c - 4*o + 25. Is g(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2782 and 49327.\nAnswer: 1282502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/4)\/m*m\/(m\/(m*m*m**(-1)*m)))\/((m\/m**(-2))\/m*m\/(m\/(m*m**(1\/4)))) assuming m is positive.\nAnswer: 1\/m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 6*r**2 + 3*r - 15. Let z be m(6). Determine b, given that -2*b**5 - 351*b**2 + 6*b**5 + 4*b**3 + 352*b**2 - 2*b**z - 7*b**4 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 14*m**2 - 20*m - 12. Suppose -83 - 9 = -j. Suppose -12*p - j = 88. What is the tens digit of a(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 27. Let h(z) = -7*z. What is h(d(t))?\nAnswer: -14*t**2 - 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-14) - (10\/(-4) - -3). Let b = 3 - 2.9. What is the closest to b in 1\/3, -0.2, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*2*sqrt(448) - (-5 + sqrt(448)*1)**2) + 0.\nAnswer: -96*sqrt(7) + 2838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -35?\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 3*a**2 - 5*a - 6. Let f be c(-4). Let p be (-4)\/10 - 32\/220. Is p equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2*(-244)\/2440)\/(-4).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 139759897135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.44 times -0.09\nAnswer: 0.1296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*k + 12, -3*k - 4*u + 2 = -1. Suppose k*w + 2*l = 139, -4*w + 2*l + 78 = -26. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256215 (base 12) to base 13\nAnswer: 185753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83715477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 653)*1 - (-2 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -17341*b**3 - 8*b**2 + 85*b + 201. Is k(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50339*f**4 + 6*f**2 + 2*f + 13108 wrt f.\nAnswer: 604068*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406472216.\nAnswer: 2, 50809027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j - 30. Let r be y(-8). Suppose r*h - q - 76 = 0, -3*h + q = -20 - 96. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 522 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 8*i. Determine c(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/5 - 6*l**3 - 45*l**2.\nAnswer: -l**2*(l + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*((sqrt(175) + 0)*6 + (sqrt(175) - (sqrt(175) - 2*sqrt(175)*-1)))*-5)**2.\nAnswer: -15120000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*m - 5*a, 2 - 11 = 3*m + 5*a. Suppose -t + 3*f = -16, -34 = -2*t - m*t - 3*f. Let v = -7 + t. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 224 - 223. Suppose -5*k + q = 3*n - 186, n = -1. Let m be (-2)\/7 + 3728\/14. Calculate the highest common divisor of m and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 17*o**3 - 40*o**2 + 45*o - 44. Let g(s) = 7*s**3 - 18*s**2 + 22*s - 22. Let f(i) = 5*g(i) - 2*h(i). Calculate f(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.735008 rounded to 3 decimal places?\nAnswer: 0.735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13\/19 (b) -6\/7 (c) 213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/2, 0.2, 3, -4, 4, -5\/4998, 1\/3?\nAnswer: -5\/4998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w = -4. Let x be 11 - (4\/w + 4). Suppose x + 0 = n. What is the least common multiple of n and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -468, 5, 0, 1\/30.\nAnswer: -468, 0, 1\/30, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964293?\nAnswer: 3, 11, 29221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 4*q - 2*q + q - 3*q + 0*q + (4 - 3 - 3)*(0 + 0 + q) + q + 3*q - 3*q - 10*q + 21*q + 5*q to the form b*q + j and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1331)*-2.\nAnswer: -22*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1243.308m to centimeters.\nAnswer: 124330.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*t**3 + 5*t**2 + 590*t - 354668.\nAnswer: 21*t**2 + 10*t + 590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 1)\/(5 + 2). Let n = -4958 - -4958.3. Which is the nearest to 1\/4? (a) -19 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1713620 and 7182620.\nAnswer: 337583140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/453 + 359\/21291. Let c = 136\/235 + y. Let f = -62.4 - -62. What is the closest to -2 in f, c, -2\/17?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-2)*(-1 + 3). Let g(c) = 5*c - 12. Let j be g(3). Let d(p) = p**3 + 5*p**2 - 27*p + 4. Let r be d(j). Sort y, r, 1 in decreasing order.\nAnswer: 1, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -8.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d + 56 = 0. Suppose -d + 4 = -2*p. Suppose 6*r + p = 7*r. Solve 0 = h - 0*h - 3*q + 4, 3*q = r*h - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 2. Let b(f) = -1 + l*f**2 - 5 + 2 + 0*f + 11*f. Let m(p) = -2*p**2 - 6*p + 2. Let x(w) = 3*b(w) + 5*m(w). Find o such that x(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 + 122.0628. Let v = a - 0.21. Let w = -0.14 - v. Round w to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 7196*n - 2015376.\nAnswer: -4*(n - 1452)*(n - 347)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-968)\/(-2970) + 6\/81. Which is the closest to 2\/3? (a) 0.2 (b) -0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 5, -4, -1, 242012 in increasing order.\nAnswer: -4, -3, -1, 1, 5, 242012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 97655*q**3 + 781220*q**2 + 1562320*q - 320 = 0.\nAnswer: -4, 4\/19531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - 83*q**2 + 239*q - 1716. Give z(39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205\/(-16870)*-1*4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -678 = -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305223161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*q - 25 = 0, 0 = -3*f + 3*q + 3 + 12. Solve 3*v = 2*w + 17 - 3, 5*v + w - 6 = f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 443 - 2d?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1 + -8 + (-90)\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/16*(0 - 0). Solve o = k + k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -206\/31?\nAnswer: -206\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-33 + (-280)\/(-20))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.025771361, 2\/7, -1 in descending order.\nAnswer: 2\/7, 0.025771361, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 3. Suppose -b*f + 4 = 3*z - 31, -18 = -2*z - 2*f. Suppose 3*i = 5*j + 11, 0 = -2*i - z*j - 5 - 21. Sort i, 5, -4 in descending order.\nAnswer: 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 = -15*f - 94 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10357 = -23*u + 5766. What is the second derivative of 2 - 669*n + 0*n**4 - 23*n**3 + 0*n**4 + u*n - 2*n**5 wrt n?\nAnswer: -40*n**3 - 138*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15458 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - m - 4. Let d be i(3). Let u(t) = 2*t + 1. Let x be u(-1). Let w be 0\/(x + -2) - -5. Solve -4*j + 3 = 5*q, d = -w*q + 3*j + 26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.9 - -17.5. Let z(n) = -5*n + 4. Let m be z(0). What is the nearest to 1 in m, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*r + 15, -4*z = r + 3 - 0. Solve -n + 1 + z = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3930 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 63298502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 108 - 84 = -2*n. Put -36, -0.5, 5, -3, n in descending order.\nAnswer: 5, n, -0.5, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**5 - 1 + 3*s**5 + 3*s**5 + (3*s**4 - 4*s**4 + 0*s**4)*(0 + 2 - 4 - 59*s).\nAnswer: 62*s**5 + 2*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-3\/19)))\/(s\/s**(4\/9)) assuming s is positive.\nAnswer: s**(-122\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156409.1l to millilitres.\nAnswer: 156409100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4908832?\nAnswer: 2, 131, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1518*l**6 + 34462*l**2 - 17227*l**2 - 31*l - 17230*l**2 wrt l?\nAnswer: -182160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456785637?\nAnswer: 41, 151, 235307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 52. Suppose 3*s - r - 30 = c*r, 0 = -4*s + r + 53. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/9515 and -61\/25.\nAnswer: 47575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157 - -161. Let n be (0 - i) + (-18 - -21). Let m(c) = -4*c**2 + c + 1. Calculate m(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-18) - (-20)\/24*52. Calculate the greatest common factor of 448 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13533775 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16418, -65882, -148320, -263732, -412118?\nAnswer: -593478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/((-160)\/6)*4)\/((-9)\/(-48)). Which is the second smallest value? (a) 0 (b) 5\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 9:40 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 s when four letters picked without replacement from {i: 6, s: 13}?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/6*(-6)\/4. Let o(s) = -s**3 - 6*s**2 - 6*s - 2. Let l be o(-5). Let u(v) = 3 - 3*v**2 - 7*v + 2*v - 5 - 4*v**l + 5*v**3. Give u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4049*s**3 - 2*s**2 + 6*s + 16?\nAnswer: 24294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1. Let z(v) = v**2 + 5. Let t(n) = -5*d(n) - z(n). Let j(f) = -18*f - 1. What is j(t(p))?\nAnswer: 18*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56130661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 31*x**4\/24 - x**3\/6 - x**2. Suppose -89 = 2*q - 91. List the prime factors of l(q).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 4:16 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38812 is divided by 12921.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*y**3 + 51*y**3 + 7*y**3 + 3*y - 154*y**3 - 4*y**2 as f*y**3 + k + d*y + j*y**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 53. Let c = -8 - a. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23150 + -23150.140005. Let c = -2 - -1.86. Let b = r - c. Round b to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67765*o**3 + 135535*o**3 - 67769*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240 divided by 8.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5301 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/221? (a) 0.5 (b) 3 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-30) - 40\/(-6). Suppose 2*b + j = -j + 120, -m = -2*j. List the prime factors of b.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4427188 is divided by 3711.\nAnswer: 3676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8 - 5*s - 3*s + s. Suppose 2*l = -5*v + 106, -v + 32 = -0*v - 5*l. What is the smallest common multiple of v and q(-4)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 1\/20*t**5 - 1\/168*t**7 + 1\/24*t**4 - 1\/4*t**2 - 1\/8*t**3 + 0*t**6 - 37 + t. Find i, given that r(i) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**2 - m**2 + 5*m**2 + (3*m - 2*m + 0*m)*(2*m - m + m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 + 2 + 36 - 26*b**3 + 0*b**2 - 40 + 8 as h*b**2 + d*b**3 + y + z*b and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4585347 litres in millilitres?\nAnswer: 458.5347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1667566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6) - (36\/(-27) + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(196) - sqrt(196) - (sqrt(24)\/sqrt(2))\/sqrt(3))\/(-5*(sqrt(8)\/sqrt(4) - sqrt(2)) + -2*sqrt(72)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m + 11. Let q(u) = 11*u + 12. Let k(t) = -7*o(t) + 6*q(t). Is k(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - 12dc8?\nAnswer: -12dd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 4, -9 in decreasing order.\nAnswer: 43, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8199284 milligrams in grams?\nAnswer: 0.0008199284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*i + 82*i + 27. Solve -4*u + 7*u + i = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 89196, 356773, 802734, 1427079, 2229808, 3210921?\n\"Answer: 89192*d**2 + d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 459\/(-135) - (-6)\/(-10)*(-4)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*t - 85*t + 296*t)*(t - 4*t + 2 - 3*t).\nAnswer: -1506*t**2 + 502*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*z + 4*r - 20, 4*r + 12 = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1666 and -40\/119?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(242)*4 - sqrt(242) - (sqrt(242) + 1 + sqrt(242))*-1)**2 + 3*2*(sqrt(242) + 0 + 3).\nAnswer: 506*sqrt(2) + 6084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 - -295. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 76 + 122. Solve d = -5*c + z, -c + 12 = 5*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -232 + 1372. Let c = j - -628. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.004 and -78788.33593.\nAnswer: -78788.33193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1954 - 1?\nAnswer: 1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 3*c + 171, 882*c = 5*o + 884*c - 271 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -4)*27\/(-6)*(-2356)\/744. Calculate the greatest common factor of w and 2261.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2911, 5822, 8733, 11644?\nAnswer: 14555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 12417 = -999. Let x = -377 + y. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147919, 147905, 147879, 147841, 147791, 147729, 147655?\nAnswer: 147569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14438 is divided by 314.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2432?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 17. Let m = -12.0034 + u. Round m to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) + (-1)\/(-2). Is 904\/2 + (-12)\/(o - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32367.02t to kilograms.\nAnswer: 32367020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53619 - -53643. Suppose 206 - 32 = 2*c. Calculate the remainder when c is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/703 + 5630\/2109. Suppose 10\/9*r**3 + 2*r + 4\/9 + y*r**2 = 0. What is r?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l - 30. Let q(m) = -m + 12. Let i(o) = 5*o - 51. Let b(j) = -2*i(j) - 9*q(j). Let d be b(l). Put -3, d, 0.5 in increasing order.\nAnswer: -3, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3490 and 3488 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1589\/91998 - -3\/538. Let z = -181\/855 - k. Let h = 0.8 + -0.9. What is the second biggest value in 8, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {q: 2, i: 1, u: 2, g: 12, t: 1, s: 2}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.79, -0.14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7851, 15709, 23563, 31413, 39259, 47101?\n\"Answer: -2*b**2 + 7864*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396, -519, -638, -753?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1123 + -214. Let j(a) = 909 - y - 11*a. Let v(i) be the first derivative of -i**2\/2 + 1. Calculate j(v(s)).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -0.5, 6367 in ascending order.\nAnswer: -0.5, 26, 6367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -209*f + 319. Give s(3).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 33*l**2 + 238*l + 135. What is q(-7)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2038346 is divided by 8635?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/106 + -2327\/530. Let c = o + 83\/20. Let q = 0.1 + 0.2. What is the closest to c in -1, -1\/7, q?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(19)*6)*-2.\nAnswer: -12*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21060?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + (-227 - -225).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -277136\/9 = -30792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42856, 85786, 128722, 171664, 214612?\n\"Answer: 3*m**2 + 42921*m - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-48)\/120)\/(2\/(-40)). Suppose 0 = -27*y + 23*y + 16. What is the highest common divisor of d and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1758852499.\nAnswer: 8537, 206027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 5*v - 3. Let a(w) = 4*w**2 - 25*w + 15. Determine -2*a(y) - 11*g(y).\nAnswer: 3*y**2 - 5*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6037451114037*o**2 - 4*o + 4*o - 6037451114040*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 72*d**3 - 1606*d**2 + 11160*d - 24025.\nAnswer: -(d - 31)**2*(d - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjzzzxjljjljjjx. What is prob of sequence zzx?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 112110000?\nAnswer: -112110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*(-2 - -3 - 2\/5). Suppose 2 = -5*i + y*i. Suppose -2*m + i*l = 6*l - 8, 3*m - l = -2. Solve m = -2*p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1\/10, 10, 0.0057875?\nAnswer: 0.0057875","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 5, 2\/7, -1, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52018328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142547, -284950, -427351, -569750, -712147?\nAnswer: -854542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 + -60. Suppose -104*q + 35*q**2 + 16 - 39*q**2 + b*q**3 + 52*q**3 + 18*q**2 + 126*q**2 = 0. Calculate q.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 61*g + 382. Give f(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 - 1222000001?\nAnswer: -1221222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*w + 35 = 0, 0 = -5*d - 5*w - 8 - 2. Suppose 0 = -d*f - 14 - 1. What is the closest to -2\/5 in f, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*g + 8774 - 8746 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - u + u - u - 5*u + 4*u + (2*u + 2*u - 3*u)*(0 + 1 - 2) - 2*u + 2*u - u + 3*u - u - 3*u + 3 - 3*u - 3 - 30 - u + 45 + 32.\nAnswer: -10*u + 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -34 - m**2 + 30 - m**2. Let o(n) = -2*n**2 - 5. Let c be (-4)\/1*2\/2. What is c*o(q) + 5*j(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a (base 14) to base 3.\nAnswer: -21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3705049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + -3 + (sqrt(2) + sqrt(10)\/sqrt(5) - sqrt(2))).\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 74*w**2 + 193*w**2 - 44*w**2.\nAnswer: 229*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -7 - (-27 - -11)) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00075686496 to 6 decimal places.\nAnswer: 0.000757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-116)*(-6)\/(-13). Let n = -22333\/2262 - r. Find the common denominator of -17\/18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 781 and 11?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5926247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -4, 1, 0.01, -1\/5, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791 + 1246 = v - 3*g, 2*g - 2057 = -v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3395702 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + t - t. Let m(n) = -2*n + 3. Let h(x) = 5 - x + 6 - 3*x - 6. Let y(b) = -3*h(b) + 5*m(b). Determine d(y(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 13, 26, 41?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13787599 to the nearest integer?\nAnswer: 3713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -751.955 + 752. Which is the third smallest value? (a) 0.5 (b) n (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -3*q - 18. Suppose q*c + 43687 = 132551. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-4)\/(-36))\/((-1)\/(-3)))\/13. Let j = i + 4\/13. Sort 0, j, -1\/7 in ascending order.\nAnswer: -1\/7, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y - y**3 - y**2 - y**2 + 3*y - 1 as v + u*y + h*y**3 + b*y**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 2:24 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 19*j**2 + 3*j + 1528. Give s(22).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3599628900?\nAnswer: 2, 3, 5, 7, 43, 39863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 260861602 to the power of 1\/2, to the nearest integer?\nAnswer: 16151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k - 57. Suppose -47 = q + n, -3*q = -2*q - 4*n + k. Let o = -23 - q. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317740849 a multiple of 2407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -40*t - 34 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 180 + -176. Let b(y) = 3*y**2 + 2*y + 15. Let f(g) = -2*g**2 - g - 8. Determine k*b(o) + 7*f(o).\nAnswer: -2*o**2 + o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*k + 178*k - 110*k - 38. Which is the nearest to 0? (a) k (b) 18 (c) -2\/203 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5032\/20 - ((-6)\/(-10) + -1). What is the highest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, m: 2, z: 3, e: 2}. Give prob of sequence ekz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from {w: 2, n: 10, d: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6904, 13802, 20700, 27598, 34496, 41394?\n\"Answer: 6898*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f + 7*f**2 + 6*f - f**3 + 2*f to z + r*f**2 + t*f + p*f**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 303?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 7:07 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*((-30)\/36)\/(-5)*3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 10:50 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45859120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r - 2*u = -23*r + 8, -14*u - 72 = -3*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11\/47, -1\/5, -1\/2?\nAnswer: -11\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-3)))\/(((n*n**(-14)*n)\/n*n)\/n))**32\/((n\/n**2)**(1\/16)\/(n\/n**(2\/3))**(3\/11)) assuming n is positive.\nAnswer: n**(56347\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 2*f, -5*f - s = 19 + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-1) - -112 - -1. Which is bigger: w or 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276 by 69.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116.0000049 + 116. Round z to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**2\/2 - 2228*v\/3 + 275776\/3 = 0.\nAnswer: 2224\/9, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -34, -95, -202, -367?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -12*i + 17*i. Solve -i*q = -5*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2179129 + 4.9.\nAnswer: -2179124.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -4 + -4 + 8. Put k, 1, -2 in descending order.\nAnswer: k, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**2\/2 + 4*g + 5. Let o be d(2). What is the second derivative of 4*l + l**o + 2*l**2 - l wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -189.73 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2868, -3, 5.\nAnswer: -3, 5, 2868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 - 3*l**2 + 3*l**2 + 0*l**2. Let w = -10 + 28. Let z(r) = r. Let b(m) = 4*m. Let k(x) = w*z(x) - 4*b(x). Give k(v(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17408874 divided by -2\nAnswer: 8704437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**5\/30 - b**4\/6 + 2*b**3\/3 + 162*b**2. What is u(4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, 5, 21, 8.\nAnswer: 5, 8, 21, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005694 rounded to 6 dps?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1901 and -36.\nAnswer: 68436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 37. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9580076 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 135*f**4 - 7*f**3 - 512. Let a(i) = 403*i**4 - 20*i**3 - 1538. Let m(s) = -4*a(s) + 11*d(s). Find the first derivative of m(q) wrt q.\nAnswer: -508*q**3 + 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 5*j - 0*j + 16, -h + 9 = 6*j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*p + 22*p + 7474005 = 128*p. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342415+2.73905\nAnswer: 342417.73905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - -3665794\nAnswer: 3665793.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**3 - 30*r**3 + 5*r**3 - 2 + (-4*r + 4*r - 4*r)*(-2*r**2 + 2*r - 2*r) to u*r**3 + k + b*r**2 + p*r and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-24)*m*m*m\/(m*m**(-2\/61)))\/(m**(-28)\/(m\/((m*m**(-8)*m)\/m))))**(4\/3) assuming m is positive.\nAnswer: m**(3424\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r + 63. Suppose 0 = -5*z + 5*p + 65, 3*p = -z - 3 + 12. Let b be u(z). Let v(d) = d + 9. Give v(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2205*h**5 + 313827*h**4 + 100583*h**3 - 174547*h**2 + 36208*h - 284 = 0?\nAnswer: -142, -1, 2\/245, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 329 - 328. Let l = 4.5 + -3. What is the closest to t in l, 5, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 11*w**3 + 6*w**3 + 129 - w**2 + 7*w**3.\nAnswer: 2*w**3 - w**2 + 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**5\/170 - 19*y**4\/102 - 64*y**3\/51 - 60*y**2\/17 + 2*y + 109. Factor b(q).\nAnswer: -2*(q + 2)**2*(q + 15)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(55\/87))\/((-4158)\/1980).\nAnswer: 58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 6 = 0, -10*r = 2*w - 424 + 418 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1.5. Let k = 1 + -0.9. Let t = -0.2 + k. What is the nearest to t in y, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21) - (sqrt(21)*3 + sqrt(21)))*2)\/(sqrt(7) + sqrt(7) + sqrt(7) + sqrt(70)\/(sqrt(10)*3) - sqrt(7)))**2.\nAnswer: 972\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -398, -1566, -3512, -6236?\nAnswer: -9738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.04 - 0.04. Let v = -7.96 - 0.04. Let p = v + q. Which is the second smallest value? (a) p (b) -2\/9 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341 (base 6) to base 10.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715126 to the power of 1\/2, to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53 and 788.\nAnswer: -41764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 + (-44)\/48. Let y = 45 + -47. Put y, a, 0.3 in decreasing order.\nAnswer: 0.3, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -100. Suppose 5*g + 2*d + 72 = 0, -3*d = -2*g - d - k. Let q = 23 + g. Solve 0 = -q*p + 5*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3329561 to the power of 1\/2, to the nearest integer?\nAnswer: 1825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 17*w**2 - 41*w**2 + 3*w**3 - w - 2*w**3 - 1 + 27*w**2. Let x be (-1)\/(-2)*(4 + -8). What is the units digit of f(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1101301212023 + 3?\nAnswer: -1101301212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-22)*(-71)\/(-14697)*92?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -130\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5, 8 in increasing order.\nAnswer: -5, -3, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*p - 5*m, -4*m + 31 = -2*p + 5. What is the units digit of (-1205)\/p - 17\/(-51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) 1\/4 (b) -0.6 (c) 15\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - 2496\/(-80))*(-25)\/(-20).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 2. Let a(o) = o - 2. Suppose 3*b - 2 - 4 = 0. Let z be (-5)\/(-2) - (4 - (-81)\/(-18)). Determine b*a(f) + z*d(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 21 - 17 - 3*u**2 - 2*u**2. Let r(o) = -o**3 + 4*o**2 + 2*o - 6. Let v be r(4). Let s(x) = 3*x. What is v*n(p) + 7*s(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o - 1. Let s be y(1). Let t = -5 + s. Suppose 11 = 5*i - t. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/(-3591))\/(3*(-6)\/81)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 720.5 - 720.3. What is the fourth biggest value in -7, 4, q, -4, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2\/17, 9, 0.1, -3\/10 in descending order.\nAnswer: 9, 4, 2, 0.1, -2\/17, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9223351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1481, -2939, -4397, -5855?\nAnswer: -7313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.57369564 to 3 decimal places.\nAnswer: -11.574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*t + 21*t + 28 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.77041 millennia to decades.\nAnswer: 677.041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 447, 588, -31, -1842, -5277, -10768, -18747, -29646?\nAnswer: -43897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.1 and -0.2508?\nAnswer: -0.52668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vguuujvvvvjv. What is prob of picking 1 g, 1 j, and 1 u?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 8:40 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - (sqrt(1584) + sqrt(1584)*-4 + -4) - sqrt(1584) - (sqrt(1584) - sqrt(1584)*-5)*1)*-1 + -1)**2.\nAnswer: -360*sqrt(11) + 14281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*b**3 + 65*b**3 + 75*b**3 + 10*b**2 + 32*b**3.\nAnswer: -127*b**3 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*f - 3*u, u + 9 = -3*f - 6. Let y be (-2)\/f + 20\/8. Suppose 0 = y*w - 2 - 1. Which is greater: 4\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -12. Suppose -4*z + 2*z + 26 = t, -5*z + n*t = -56. Factor -21 + 6 - w**2 + z*w - w**2 - 3.\nAnswer: -2*(w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r + 2. Suppose -r*p - p + 5*j + 31 = 0, 0 = 4*j + 20. Suppose 0 = b + p - 17. Calculate the remainder when 43 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*d**5 + 15205*d**4 + 10050*d**3 - 80970*d**2 + 70895*d - 15195 = 0. Calculate d.\nAnswer: -1013, -3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:34 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3810*n + 3807*n - 3 = -3*v, -5*v = 4*n + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10678164 and 3036.\nAnswer: 117459804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(1 - 6\/9). Suppose 4*m - 23 = -m + 4*d, 5*d + 10 = 0. Suppose 0 = -3*z - 2*u - 10, -m*u = 3*z - 8*u - 4. What is the nearest to q in z, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from qqyyqiqyq?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/29 (b) -2\/45 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + 9. Let q = 538 - 532. Determine s(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382254 is divided by 59.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 3328?\nAnswer: 16640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 225069991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + y**2 - 4*y**2 + 10*y**2 - 2 - 1 - y - 8*y**2 in the form g*y + n + s*y**2 + x*y**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101110100002011 - -12?\nAnswer: 101110100002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/((-16)\/(-64)*(-48)\/12).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 64978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 540, 101 in decreasing order.\nAnswer: 540, 101, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 126*a*n - 24*a + 10736*n wrt a?\nAnswer: 126*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - n - 2, 0 = -3*n - 1 + 4. Let d(v) = 3*v - 1. Let w be d(-1). Let l be (-6)\/(-12)*w\/(-10). Is h < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946*u**3 + 887*u**2 + 2 - 885*u**2 - 2 - 764*u**3.\nAnswer: 182*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*u + 5*u + 21*u**2 - 94*u**2 + 14*u + 2*u to p + l*u + q*u**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Let m(p) be the third derivative of -p**6\/120 - p**5\/60 - p**3\/6 + 8*p**2. Determine m(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-13))\/(7188\/2086916)\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Let m(u) = 119*u + 6. Let d(o) = -121*o - 5. Let q(i) = 6*d(i) + 5*m(i). What is q(z(v))?\nAnswer: -131*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*u - 3034 = 25*u. What is the remainder when 162 is divided by u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/3 (b) 0.3 (c) -0.043\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -948 (base 13) to base 6.\nAnswer: -11153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23\/4 - ((-2)\/8 + 1). Let j(d) = -d**3 - 8*d**2 - 2. Let f be j(-8). Let u be 0 - f\/3*9. Solve -p + u*p = -w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 940.81 - 939. Let b = -1.77835 + w. Round b to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9361*a**2*r**4 - 11490*a**2*r + 2*a**2 + 22*a*r**2 + 5*a*r - a - 412*r**4 wrt r.\nAnswer: -224664*a**2*r - 9888*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90937 + -56268. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5462982 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (-4 + -1 + -3). Suppose -11*x - 18 = z. Let h = -5 + 5. Which is the closest to h? (a) 0 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 3, 4, -0.4, -0.475?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 11*q**2 + 9*q - 16. Calculate g(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2538366226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11*l**2 - 2*l**3 - 4079 + 8*l + 6*l + 4070. What is the hundreds digit of c(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n + 5*n - 3*n)*(4*n - 5*n + 2*n)*(6 + 9 - 5)*(-5*n - 8*n - 7*n) as l + a*n**2 + s*n**3 + w*n and give s.\nAnswer: -1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from {w: 5, a: 1, y: 10, x: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 33233334 (base 5) to base 13\nAnswer: a1c09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 12*a. Let p(q) = 62*q**2. Calculate p(w(n)).\nAnswer: 8928*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -2\/5, -862, -2\/17, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 13. Let h be n(-9). Suppose -15 = -3*z - 2*u, z + 3*u = -z + 15. Suppose -2 = -h*w + z. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43032 and 5676.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 18\/5 of a millisecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -26. Let n = 35 - a. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(sqrt(2880)*-2*5)\/(sqrt(28)\/(sqrt(14)\/sqrt(98))).\nAnswer: -360*sqrt(5)\/7 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -192884\/93 + 2074. Which is smaller: -0.1 or u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(112) + sqrt(112)).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6451183 (base 10) in base 4?\nAnswer: 120212333233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*c**2*w**3 - 5*c*s*w**2 + 244*s*w**3 with respect to c.\nAnswer: 52*c*w**3 - 5*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*f + 105529, 17*y = 16*y + 2*f + 26383. Is y a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20*32\/(-9600))\/((-4)\/6)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(2*3\/75 - 621\/575). Which is the closest to i? (a) 1\/3 (b) -5 (c) 73\/2 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/10*(-15)\/12. Let l = -149 - -149.08. What is the smallest value in l, q, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20840532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 54 + -9 + (-72 - -39)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1326 > -1199234\/905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(24\/(-12))*(90\/4)\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 - 2. Let a = 11 - 7. Let n = a - 3.5. What is the second biggest value in -0.2, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (sqrt(121)\/(-2*sqrt(11)) - sqrt(11)) - sqrt(3520)\/sqrt(5).\nAnswer: -11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2, -2.5, 0, -3\/4?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-2)\/((-28)\/(-14)))*22\/(-36)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q**2 - 24*q**2 + 7*q**2 - 316 + 277 in the form c*q + f + n*q**2 and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 91. Suppose 5*d + 101 = 1. Let h = -9 - d. Calculate the least common multiple of h and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 6:01 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 - 5*b + 3*b - 5 to the form t + a*b and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13*y + 43. Let j(z) = -5*z - 30. Let l(v) = -5*v - 32. Let p(d) = 5*j(d) - 4*l(d). Let w(f) = 2*c(f) + 5*p(f). Determine w(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 11*o + 15. Let w be d(12). Let f(r) = -r - 2. Calculate f(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4897 is divided by 1627.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 3:42 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13611199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 + p**2 + 8*p**2 to the form x*p + g*p**2 + c and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 2, j: 1}. Give prob of picking 2 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (25044\/224)\/(45\/2). Let r = q + 39\/35. What is the common denominator of r and 93\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**6\/780 + s**5\/390 - s**4\/156 - s**3\/39 - 3*s**2. Suppose q(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.3 + -4.8?\nAnswer: -178.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-9))\/(1\/(-18)). Suppose 0 = -x + k. Suppose x*o - 2*o - a - 1159995 = 0, o + 2*a - 290010 = 0. Round o to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usukkuskk. What is prob of picking 3 s and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4080*w - 4119*w - 343 - 281 = 0 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137176 and 47632?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, w: 4, t: 1, a: 4, l: 1, u: 2}. Give prob of picking 1 w, 2 a, and 1 l.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(36) - (sqrt(36) - sqrt(324)) - sqrt(36))\/sqrt(12) - sqrt(30)\/(sqrt(10) - (sqrt(160)*-3 + sqrt(10))))**2.\nAnswer: 14641\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 - 1 - 2*s**2 - 1 - 3*s - 3*s**3. Let t(a) = -a**2 - a. Suppose 2 = 6*p + 8. Determine p*g(h) + 2*t(h).\nAnswer: h**3 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 500160299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1. Let p(d) = -10*d + 8. Let b(s) = s - 1. Let z(h) = 18*b(h) + 2*p(h). Let q be 8\/(-12) - (-28)\/(-12). Give q*r(u) + z(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13 + -4.87. Let d = 16 - 16.2. Sort 3\/8, d, g.\nAnswer: g, d, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*o**6 + 2 - 10*o**2 - 14*o**6 + 48*o**6 wrt o.\nAnswer: 9240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 3, 10 in ascending order.\nAnswer: -2\/9, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166 and 207108987?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/35*9\/(-54)*-4?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 125 = -112*l + 115*l, 0 = 4*l - 2*r - 170. What is the remainder when 408 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 19*t - 4. Let g(u) = -75*u + 15. Let z(a) = 4*g(a) + 15*l(a). Let o be z(-1). Let n = -2794 - -2794. Solve d + 4*d + o = n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -2*c**3\/9 + 766*c**2\/3 - 293378*c\/3 + 1196. Factor h(z).\nAnswer: -2*(z - 383)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*c, 2*y - 2*c + 28 = 4*y. Let k = -3 + y. Let l = -58 + 68. Is k bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iifciiffsiificfciiei. Give prob of sequence sef.\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 - m. Let k be j(-1). Suppose -3*q + 2*q - 4 = 0. Suppose -u = 3*w - 12, -u = -2*u + 5*w - 20. Sort k, u, q in descending order.\nAnswer: u, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*t - 0. Let u = -8 + 8. Sort -3, u, t in descending order.\nAnswer: u, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12*w + 2 - 2. Determine v(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 8:40 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 40822400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.10862*0.1063\nAnswer: -0.011546306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 1 - t**3 + 2*t**2 - 2*t**2. Let p(w) be the first derivative of -w**2 + 1. Determine p(h(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15002 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = 12. Let l be (-2)\/g - 10\/12. Suppose 24 - 48 = -12*p. Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.6863 and 0.04.\nAnswer: -0.107452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 43*t**2 + 86*t - 190. Determine p(41).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 27 = 1. Let l = w - -39. Calculate the highest common divisor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14432 + 17843. Which is smaller: 3414 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**3 - 9*m**2 + 8*m - 12. Let x(y) = 7*y**3 - 9*y**2 + 8*y - 10. What is 5*k(w) - 6*x(w)?\nAnswer: -2*w**3 + 9*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 102705, 206009, 309313, 412617, 515921, 619225?\n\"Answer: 103304*q - 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.01 + 0.01. Which is the nearest to 2\/7? (a) -3\/7 (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l = -3, -l = 5*f - 41. Suppose -2*g + 4 = f. Let r(w) = -w**3 - w**2 + 4*w + 3. What is r(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/5 + 3592*z**2\/5 - 7172*z\/5 + 3584\/5.\nAnswer: -4*(z - 896)*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1109 - 2.1108991271. Round i to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j + 3*j + j. Let m(s) = -3*s. Let l(o) = -m(o) + 6*x(o). Let z(b) be the second derivative of -b**3\/2 + 4*b - 4. Determine z(l(w)).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/31 - -91\/62. Let y(k) be the first derivative of 0*k - i*k**2 + 3 + k**3. What is the second derivative of y(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 813781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-1\/2)*n*n)\/(n\/(n\/(n\/n**(-1\/10))))*n**(-8)*n*n*n*n**(-1\/13) assuming n is positive.\nAnswer: n**(-109\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*x**2 - 159 - 713*x**2 + 157 - 1127*x**2.\nAnswer: -1626*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3775*w**2 - 6*w + 6. Let i(z) = 3710818*z**2 + 5899*z - 5899. Let y(g) = -6*i(g) - 5899*q(g). Let k(v) = 2*v. Calculate y(k(t)).\nAnswer: 15268*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 2*o - 32 = 0. Let p(t) = t**3 + 7*t**2 - t - 4. Let l be p(-7). Suppose -14 = -o*g + 3*v + 123, -v + 93 = l*g. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 175*r - 170*r - 25, 3*c + 2*r - 28 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 1050?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 74. Let o(c) = c**3 - 5*c**2 - 27*c - 24. List the prime factors of o(g).\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 40. Let u be (y\/(-10))\/(8\/(-20)). Suppose -u*i + 139 = -i + 2*j, -6 = 2*j. Calculate the remainder when 113 is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-2)\/(-12)*-6)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-65)*(40\/(-18))\/4\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 26 = -d. What is the common denominator of 89\/8 and d*3\/(-48)*-65?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 3*y)*(-2*y + 0*y + 0*y)*(-4 + 7 - 8*y - 12).\nAnswer: 48*y**3 + 54*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Suppose -7 = 2*n - u. Let k(j) = j**2 + 6*j - 4. Let q be k(-7). Sort n, 0, q in increasing order.\nAnswer: n, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 0*r = -49. Let b(i) = 51*i - 6*i + 20*i - 1 + r*i. Calculate the remainder when b(1) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 <= -157\/3380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -852, -1224, -1592, -1956, -2316?\nAnswer: -2672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47709? (a) 5 (b) 1 (c) -4 (d) 13 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 9:06 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - 2*v**4 + 2*v**2 - v**3 + v**4 + v**3 + (-4*v - v + 3*v)*(-257*v**3 - 244*v**3 - 105*v**3).\nAnswer: 1211*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let c = o + -1.9. Suppose 0 = 3*h + 9. What is the nearest to c in h, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.25, 2\/11, 1.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/7 - 78*k**3\/7 + 352*k**2\/7 - 408*k\/7.\nAnswer: 2*k*(k - 34)*(k - 3)*(k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-10))\/((-2)\/(-85)). Let p = i + 85. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162365 rounded to the nearest 100?\nAnswer: 162400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*r = 1407 + 2503 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -6*w**5\/5 + 324*w**4\/5 + 16146*w**3\/5 + 31296*w**2\/5 + 3096*w = 0.\nAnswer: -30, -1, 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(405) + -1) - (sqrt(735) - (sqrt(735) + sqrt(735)*2))\/(sqrt(18)\/sqrt(54)).\nAnswer: -36 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 593693 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d + 11. Let x(g) = -71*g**2 - 77*g**2 + 287*g**2 - 71*g**2 - 71*g**2. Determine x(r(z)).\nAnswer: -48*z**2 - 264*z - 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 388*i**4*n**2 + 685*i**4*n - i**2*n - i + n**2 + 60507 wrt i?\nAnswer: 9312*i*n**2 + 16440*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 42*c + 31. Is 34 a factor of j(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 + 5 = 0. Is 1\/(-1)*130\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by 4\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1433110*p**2*v**2 - 13*p**2*v + 3*p**2 - 4*p + v - 7074 wrt v.\nAnswer: -2866220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (232 + 157 - 102 + (2 - 3 + 0)*(-1 + 1 + 2) + 2 - 1 + 0)*(2*q - 4*q - 5*q).\nAnswer: -2002*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3371659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from offooo.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208 divided by 22.\nAnswer: -104\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*b + 8 = 0, -2*b + 8 = 5*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*d*o**3 - d*o**2 + 88*d*o + 5*o**3 wrt o.\nAnswer: -42*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11742 + -5203. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m. Let s(d) = 117052997*d**2. Give s(i(k)).\nAnswer: 1872847952*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.93 - -919.93. Let o = v + -914. Which is the closest to -0.3? (a) -15 (b) o (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.831033um in meters?\nAnswer: 0.000008831033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70745582 to the power of 1\/2, to the nearest integer?\nAnswer: 8411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 5*b - 11. Let u(s) = 3 + 6 + 8*s - s**2 - 3*s + 3. Let y(q) = -4*k(q) - 3*u(q). Give y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-22) + ((-639)\/71 - 358*(-21)\/154).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/70*(10\/(-31))\/(-2))\/((-399)\/2793)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a factor of 734017503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 7, q: 2, r: 6}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 4:05 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in 5, -1, -1243?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 1\/2, 2, 102080?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**3 - 840*t**2 + 2455*t + 3300 = 0. Calculate t.\nAnswer: -1, 4, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*r**3 + 145*r**2 + 4014*r.\nAnswer: -48*r + 290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 28*j - 14. Let c(g) = -9*g + 5. What is -14*c(s) - 5*f(s)?\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 - 80. Suppose 2 = n - a. Let t(h) = -h - 3. Give t(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -4081.1.\nAnswer: -4082.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 19 = 4*a. Suppose 10*s + 630 = a*s. Does 15 divide (1 + -3)\/14 - (-3160)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-10)*f\/(f*f**(2\/13))*f\/(f**(-3)\/f)*((f\/(f\/((f*f*(f\/f**(-2))\/f*f*f)\/f)*f))\/f*f)\/f assuming f is positive.\nAnswer: f**(-15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**13\/n**0*(n\/(n*n**(-2)*n)*n)**(-12) assuming n is positive.\nAnswer: n**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49396 + 49392. Sort -25, u, 10, -1 in increasing order.\nAnswer: -25, u, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(2\/35)\/(34\/(-85)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -2\/9 (b) -4 (c) 112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3188 (base 11) to base 5\nAnswer: -113320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.40629 + 0.60629. Let w = -0.2 - 0.2. Which is the smallest value? (a) w (b) -31 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-5 + 28 + -6 - (6 - (10 + -1))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -5786363?\nAnswer: -5786364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3259040*n + 30577484?\nAnswer: -3259040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeqqqqqq. Give prob of picking 3 q.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 9) + -9 - (2 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 328*r**2 + 262. Let o(u) = -165*u**2 - 158. What is 3*h(c) + 5*o(c)?\nAnswer: 159*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-5)\/2)*5\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6505.9473075 take away 3?\nAnswer: -6508.9473075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2 + (-1 + 0 - 3)*(2 - 4 + 1))*(0*j**2 + 4*j**2 - 2*j**2 + (2*j - 4*j + 4*j)*(1 - 2*j - 1)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q*u**3*y - 2*q*u**3 - q*u**2*y + 66381*q*u**2 - q*u*y + 675*u**3*y + 98*u**3 + 2*u**2*y + 2 wrt u.\nAnswer: -6*q*y - 12*q + 4050*y + 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (3 + -3 - 6 - (125 + -92))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 103b88 (base 13) to base 10\nAnswer: 379855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r + 648 = 0. Suppose -r = 13*c - 11*c. Let a = c - -168. What are the prime factors of a?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00088580017 to 5 decimal places.\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -4\/7*v**4 + 12\/7*v**3 + 3\/28*v**6 - 1\/14*v**5 - 1\/35*v**7 + 0*v + 0 + 1\/392*v**8 + 49*v**2. Let u(i) = 0. Calculate i.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyooyoyfoyooyyooyo. Give prob of sequence yf.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1014 + -2?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/120 - i**5\/20 + i**4\/6 - i**3\/3 - 2*i**2. Let y = -1 - -3. What is h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -1*(-2 - 8). Suppose 3*x + 1 = -q + b, 3*x + 3 = 3*q. What is m in -25\/6*m**4 + 10\/3*m**q + 0 + 0*m - 2\/3*m**2 = 0?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 426055911 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.264716798 rounded to 3 dps?\nAnswer: 0.265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153608 and 182304.\nAnswer: 16589664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 10*y**2 + 12*y + 11. Let w be c(11). Let n = w - 17. Put n, -8, -2 in increasing order.\nAnswer: -8, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11876009047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 146 + 62 = 0. Let g = 3 - 5. Suppose 0*f = 5*r - 3*f - 6, 5*r - 4 = 2*f. Which is the nearest to r? (a) g (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(19) - (3 + sqrt(19) + -1) - sqrt(19)*1*-4)**2*-5 + -5 + -5).\nAnswer: -7750 + 400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2. Let u be (-94)\/(-4) + 2\/(-4). Let b(n) = u*n - 17*n - 13*n. What is b(v(o))?\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -11*g + 19. Suppose 2*v - 76 = 116. Suppose v*x + 10 = 101*x. Let z be s(x). Let q(l) = -9*l - 1. Determine q(z).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76, 57, 38?\n\"Answer: -19*u + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 8*d**2 + 32*d - 7. Let a be y(-11). Suppose -5*g = a*o - 558, 2*g + 2*o = -g + 334. Is 55 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -244 - 196. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 0 + 18. Is 47\/6 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 233 - 232. What is the closest to 1 in 1.3, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(792)\/sqrt(2)*-2.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 1, -5, 7, -3, 19 in descending order.\nAnswer: 19, 7, 1, -3, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -411\nAnswer: -56\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43771 is divided by 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 8:28 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 65*j**2 - 407*j - 197. Calculate w(-58).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, d: 6, j: 1, w: 9}. What is prob of picking 2 d and 1 w?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 17*v - 9. Let n be j(-16). Suppose -n*c + 0*c + 504 = 0. What is the greatest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20396 is divided by 2050.\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 17*y**2 + 30*y + 14. Is l(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpqtbqw. Give prob of sequence bqw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(162)\/sqrt(3)) + 1.\nAnswer: 1 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5091*743.\nAnswer: -3782613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930836839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f. Let q be (4 + -7 - -2)\/(-1). Let i be (8\/(-20))\/q - (-48)\/20. Let w(m) = -6*m + i*m + 4*m - m. What is w(d(c))?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -940e0 (base 15) in base 5?\nAnswer: -110004320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -703 and 0.34?\nAnswer: -239.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 274.3 - 274. Sort i, 20, 3 in descending order.\nAnswer: 20, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 4, 1600, -40 in ascending order.\nAnswer: -40, -2, 3, 4, 1600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29899 and 174?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/3))**5\/((u**1\/u)\/(u**(-1\/4)\/u)))**(-10\/9) assuming u is positive.\nAnswer: u**(-425\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 330*4250\/(-935)*22\/(-6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79206 is divided by 525.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(4\/5)*s)**34\/(s**(1\/5))**(-5\/6) assuming s is positive.\nAnswer: s**(1229\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -67, 722, 1985, 3680, 5765, 8198, 10937, 13940?\n\"Answer: -7*w**3 + 279*w**2 + w - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = -3*i. Suppose -6 = i*t - 0. What is the units digit of 13 - (-1)\/3*t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3) + 52\/(-195)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/(-1299))\/((-624)\/(-5538)) and -19\/52.\nAnswer: 22516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6957*a = -8444*a - 57993 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) -1 (c) 16 (d) 11.7 (e) -2\/11 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 - 261 = 6*u. Suppose -4*q = -q. Let m(k) = -k**3 - k**2 + 7. Let t be m(q). Solve 2*x = -z + 2 - t, u*x = -5*z - 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 13 = 3*t. Let u = 102 + -97. Solve 3*b = 5*d - 5, t = -u*d + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 473172 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 5*y - 115, -3*v = y + 2063 - 2128 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**2 - 1352*v + 52752. What is r(-305)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126544129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1, 4 in descending order.\nAnswer: 4, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*x - 9*k**2 + k*x - 36*x wrt k?\nAnswer: 4*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 8*c - 3. Let r be b(8). What is the second biggest value in -0.5, r, 0.5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8429.532cm in millimeters?\nAnswer: 84295.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586a5 (base 11) to base 13.\nAnswer: 2c71c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5312?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212120 - 2?\nAnswer: -2212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4.935915ug?\nAnswer: 0.004935915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-126)\/(-12)))\/(8\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v. Let s(i) = -72*i. Let g = -7662 - -7742. What is g*q(p) + 4*s(p)?\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 0*v**2 + 1 + 0*v**2)*(-2*v - 3 + 3 + v + 7*v - v + (-47 + 12 - 6)*(-3 + 3*v + 3)).\nAnswer: -236*v**3 - 118*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v**5 + 18*v**4 - 4*v**3 = 0 for v.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*o + 328. Let v be (24\/10 - 2)*10. Let i be (-174)\/(-11) - v\/(-22). Calculate the highest common divisor of i and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 2, f: 9, b: 3}. What is prob of picking 1 f and 1 c?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268668 divided by 38452?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6425319 + -370896.\nAnswer: -6796215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 931 and 3324601.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 76*p - 241. Let o be s(41). Suppose 3*u + 3*y - y - 2 = 0, -2*u = 5*y - 16. Put 3, o, 0, u in increasing order.\nAnswer: u, 0, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.48999691 + -2.49. Round l to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 8*n**2 - 11*n + 4. What is l(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151 - 151. Let u = -0.6 - 2.4. What is the nearest to u in -1, -2\/13, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6420336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, f: 4, i: 4, a: 3}. What is prob of sequence ija?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 333*z - 7. Is y(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 146 + -71. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 200?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*z, 0 = -d + 2*z + 3*z - 41. Let s = 117 + -212. Let h = d - s. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 30 + 18. Let a(y) = 8*y + 1. Let q(o) = -9*o - 1. Determine h*a(b) - 5*q(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68\/10*(-14 - (-163 + -16))?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(r - 4*r - r)*(0*r**4 + r**4 + 0*r**4)*(0 - 3 + 0).\nAnswer: -24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, i: 3, o: 2}. Give prob of picking 1 i, 2 o, and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.2, 5\/3, -1\/4, -95?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - -3. Let y = l - 13. Solve -h + 30 = 4*d + y, -h = -3*d + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -438.988 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) -1157 (c) -0.2 (d) 7 (e) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(153)*-2 + sqrt(153)))\/((sqrt(18)*-2)\/sqrt(2)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 9*r**2 + 62*r - 662. Let o be d(-16). Calculate the highest common factor of 104 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -18. Let d be 3 + g\/(10\/6). Solve -5*o = 3*i + 10, -4*i + 18 + 2 = d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, q: 1, e: 1, o: 1}. What is prob of sequence nu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y**2 - 18*y**2 + 11*y**2)*(-7 + 1 + 1).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:09 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-24) + 116\/3. Let f be 3\/120*l\/4. Let z = -5\/48 + f. Which is the second biggest value? (a) 0.2 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.035008 years to centuries.\nAnswer: 0.00035008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 665 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*((-4)\/(-2) + -4). Suppose 0 = 3*c - 237 - 27. Calculate the greatest common divisor of f and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85892.\nAnswer: 2, 109, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 55*d + 1033. What is the tens digit of h(56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-2)*(q**(-2\/7)*q*q)\/q*q\/((q\/q**(4\/9))\/q)*q*q\/q**(2\/3)*((q\/(q\/(q*q*q**5*q*q)))\/q**5)**(26\/7) assuming q is positive.\nAnswer: q**(1093\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**2\/2 + 3*k + 95. Let c(f) = -1. Calculate 4*c(z) - 2*l(z).\nAnswer: 2*z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - 2*y**3 - y**3)*(1 + 3 - 2) - 5*y**3 - 28*y + 10*y + 115*y**2 - 117*y**2 - 2.\nAnswer: -11*y**3 - 2*y**2 - 18*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 0*o + 6*o)*(-2*o**4 - o**4 + o**4) - 1696*o**3 - 67*o**5 + 1696*o**3 + (8 - 8 - 4*o)*(3*o**4 - 6*o**4 + 0*o**4).\nAnswer: -59*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 25*z + 345. Let o be 25\/(-10)*(-48)\/z. What is the nearest to 0 in 0, o, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 23*p - 3570*p**2 + 1800*p**2 + 1786*p**2 - 9 + 12. Let y(c) = -2*c. Calculate y(f(d)).\nAnswer: -32*d**2 - 46*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1661*j + 8061. What is the ten thousands digit of y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-2) - -3)\/(6\/9). Suppose 0 = s*g + g - g. Solve g*x - 16 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -1.8, 4\/27, -3 in descending order.\nAnswer: 4\/27, -3\/2, -1.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 31710 divided by 6\nAnswer: 5285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 15*f + 2777 = -2*u, 0 = -2*f + 2*u + 1852. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.162 - 0.1. Let b = w + 0.196. Round b to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 6. Let q(d) = -d + 1. Let n be q(-3). Let z be c(n). Let p(x) = -3*x + 4*x**3 - 5*x**3 - 1 + x**2 + 5*x. Determine p(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2382 and 68284.\nAnswer: 204852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 19, -4, -1\/3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((12 + 4*u**3 - 12)*(-2 + 1 - 2) + u**3 - 5*u**3 - 3*u**3)*(3 + 4 - 5)*(0*u + u + u) as t*u**3 + f + x*u**4 + p*u**2 + y*u and give x.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.19 (b) -3 (c) 1.9 (d) 0 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20845, 20849, 20853, 20857?\n\"Answer: 4*n + 20841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = d - 15*d. Let g = d + 138. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1136221 and 41\/9.\nAnswer: 10225989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40546 divided by 3686?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 40*z - 3. Let y = -22 - -27. Let g be (4*7)\/(y - 3). Is k(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15551.\nAnswer: 15551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 0, 2*a + 2*d - 6 = 8. Let w(t) = -a + 4 + 28*t - 30*t. What is the remainder when w(-8) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -12 (c) -3 (d) -32\/17 (e) 2\/393\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**3 + 9*s**2 - 14*s - 54. Determine x(-4).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 278 - 2960. What are the prime factors of x?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 3 + (-5)\/(-1). Sort 3, 4, u in descending order.\nAnswer: u, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouubhvhpb. What is prob of picking 1 b and 1 v?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + c + 2 = 0, 0*c + c + 6 = 3*n. Find the third derivative of 2*w**3 + 3*w**n + 2 - 6*w**2 - 2 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 6*n - 3*s - 12 = 0, -5*s - 20 = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/3*(-968)\/726*(-4)\/(96\/27)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 132, 570, 1346, 2502, 4080, 6122, 8670, 11766?\n\"Answer: 7*n**3 + 127*n**2 + 8*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*c, 4*t - 5 = 3*c - 0*c. Let f(k) = -k + t + 4 - 9. Let w(h) be the third derivative of 3*h**5\/20 - h**2. Calculate w(f(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/2? (a) -41 (b) 46\/11 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14\/883 - 71383\/8830. Suppose 2*h - 2*r = -0*h - 92, 3*r - 6 = 0. What is the common denominator of t and (-200)\/h + 4\/(-2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-15)*(-3)\/(-2). Suppose -d*g - 2247 = -y, -5*y = -4*g - 3256 - 8003. Suppose -s - y = -6*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 2*n - 5. Let o(i) = -i + 4*i + 2 - 4. Let z be o(2). Is v(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -9. Let x(z) = z. Let k be x(u). Solve 0 = 5*b + k - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a millennium in months?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**3 - 1. Let i be f(1). Suppose -27 = -4*q + 3*o, 6*o - 15 = o. Suppose -6 = 12*r - q*r. Sort 3, r, i in descending order.\nAnswer: i, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Suppose 23 + 65 = i*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -33033300?\nAnswer: -33033230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o - 18341 = 99259. Calculate the lowest common multiple of 896 and o.\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000336178923 rounded to 7 dps?\nAnswer: 0.0000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 15 = 3*l. Let i be 3\/(-9) - 1\/l. Solve 1\/3*q**3 + 0*q + 1\/3*q**4 + 0*q**2 + i = 0 for q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 - 4*d - 2. Let x(u) = -u**2. Let c = 3 + -1. Let z = 3 - c. Let p(n) = z*q(n) - 2*x(n). Factor p(g).\nAnswer: -2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x - 760 = -788 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 0*q + 2*q)*(2 - 11 - 4).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqhv when four letters picked without replacement from {q: 1, h: 4, t: 1, v: 3, b: 5, r: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3}. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 365 = -9*z - 3*k, 4*z - 742 = -2*k. Calculate the remainder when z is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66585305 to the power of 1\/2, to the nearest integer?\nAnswer: 8160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(99) - -3*sqrt(99)*1)\/sqrt(9) + sqrt(99)\/(sqrt(54)\/sqrt(6))*2).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.35 + -0.77. Let j = 56749.02899967 + -56749.449. Let s = j - l. What is s rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v + 47. Let m be p(-24). Suppose -4*r + m = 71. Round r to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 13*j**2 - 477*j - 146. Let r be m(37). Solve -r*u - 6*c + 2*c = 22, -3*c = 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 7629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -157 + 155 - f + 2*f - 2*f**3 + 7*f**2 - 3*f**2 in the form m*f + k*f**2 + g + p*f**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13) - sqrt(52)\/sqrt(4)) - (sqrt(13) + -4 + sqrt(13) + 0 + sqrt(13)).\nAnswer: -3*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2. Let n(z) = -6*z**3 - 3*z**2 - 5*z - 1. Let v be n(-2). Let s = v + 6. Let x(f) = -44 + 95 - s + 7*f**2. Give x(h(w)).\nAnswer: 28*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*(-12)\/(-44)*2*5\/100?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*v + 4*s, -s + 1 = 3*v - 4*v. Suppose f = -v*f + 4*k - 302, 5*f + 3*k + 455 = 0. Let x = 149 + f. Is 33 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) + (-14)\/8. Let c(o) = 3*o**2 - 4*o - 3. Let b be c(g). Calculate the greatest common divisor of b and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-4) - (-3)\/12. Suppose 0*v + a*v = 50. Suppose -12 = -t + v. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qggogqggogg. Give prob of picking 3 g.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 12 + 2)*(39*h - 10*h - 139*h)*(-1 + 1 + 2).\nAnswer: -3960*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -50*g + 403. Let x be h(8). Factor -3\/2*l + 0 + 0*l**2 + 3\/2*l**x.\nAnswer: 3*l*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.257 - 108.743. Which is smaller: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 13.91. Let o = d + 4.91. Which is the smallest value? (a) o (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -169?\nAnswer: 3\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13132 at least as big as 13134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15846230 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20207 is divided by 20195.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-8)*15\/(-35)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 2:16 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1\/2)\/((-74)\/(-2072)) and 982?\nAnswer: 6874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - w - 171800, -l + 10*w = 13*w - 171792. Let m be l + 6\/(3\/1). Round m to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnncnccccnjncnccn.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10852655?\nAnswer: 5, 11, 37, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - m**2 - m - 2. Let s be o(-2). Suppose -5*h = -s*g + 778, -h - 465 = 2*h - 3*g. What are the prime factors of (-6)\/8 - h\/8?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**3 - t**2 + 2*t - 1. Let r = 1 + 0. What are the prime factors of c(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774230 is divided by 386511.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -653317 minus 1?\nAnswer: -653318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 3, -1.6, -0.03, -10\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 17595*x + 1425940.\nAnswer: 5*(x + 83)*(x + 3436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2 + 53300*d - 10902318 = 0.\nAnswer: -26853, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -56. Suppose 4*j - 183 = -b*t - 0*t, -5*j = t - 226. Suppose 0 = -2*o + l + 22 + j, 9 = -3*l. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*q - 2*d - 5, 3*q - 2*d = -22. Is ((-3356)\/(-10))\/(q\/(-15)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/8 - 2\/(-4). Let m be (-36)\/(-1) + 0 + r. Suppose -i + m = 2*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 17*b - 21. Let g be y(-6). Suppose -3*s + g = 5*h, -h = h - 3*s - 18. Let v(l) = -l**2 + 8*l - 3. Give v(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*3\/15 - -5. Solve -b - 3*r = -j, 4 = 2*r + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63971 or 13043?\nAnswer: 13043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -39719*w**2 - 40136*w**2 + 82305*w**2. Let x(o) = o**2. What is s(x(d))?\nAnswer: 2450*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47501406436 - -0.013?\nAnswer: 47501406436.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9240 and 495?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*z + 602 - 32156, 0 = -3*p - 2*z + 94646. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701680518?\nAnswer: 2, 3, 7, 11, 506263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136 - 193. Let s = l + 62. Find the third derivative of 11*w**s + 2 - 2 + 0 + 3*w**2 wrt w.\nAnswer: 660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -10*m + 24. Let u(k) = 212*k**2 - 11*k + 20. Let v be u(m). Round v to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*o = -6, 5*o - 112 = -3*v - 122 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19430120.\nAnswer: 2, 5, 485753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + -1*1*sqrt(85) + sqrt(85))\/sqrt(5))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68.7 - -103586.7049.\nAnswer: 103518.0049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9*i**2. Let k(z) be the second derivative of z**4\/4 + 4*z. Give s(k(b)).\nAnswer: 81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-995*w**3 - 6 - 21 + 997*w**3)*(25*w - 79*w - 324*w) to z*w**2 + l*w + m + q*w**4 + p*w**3 and give q.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h**2 - 3*h - 2. Let s(x) = 23*x**2 + 10*x + 7. Let m(t) = 8*f(t) + 3*s(t). Is m(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-111 - -1)*16\/32. Let n = m + 59. What is the third derivative of 30*t**n - 3 + 3 + 153*t**2 - 152*t**2 wrt t?\nAnswer: 720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 3*l**2 + 22*l - 102. What is a(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168161?\nAnswer: 7, 24023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.5 - -12.9. Let o = l - -13.3. What is o rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -0.14, 11\/27, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -710, 1\/4, 2, -4, 0.02?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y + 7 - 57 = 157 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52772546?\nAnswer: 2, 26386273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 369966 and 1423524?\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 10*c**2 + 8*c + 11. Let b be q(9). Differentiate -b*x - 2 - 2*x + 2*x + 1 with respect to x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17000215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 5*m**2 - 2*m - 3. Let u be y(-5). Let s be -2 - u\/((-105)\/54). Factor -1\/5*g**3 + 6\/5*g**2 - 12\/5*g + s.\nAnswer: -(g - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l**3 - 7*l**2 - 1. Let x(z) = 7*z**3 - 5*z**2 - 1. Let u = 9 + -14. Let j(t) = u*w(t) + 7*x(t). Find the first derivative of j(r) wrt r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6934 is divided by 2266.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 410 by 11551.\nAnswer: 410\/11551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 311132013?\nAnswer: 311132020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 20*i + 100. Let c be j(10). Suppose d + 4*v - 1399 = -0*v, c = -5*d + 3*v + 7018. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -767067 divided by 109581.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 14, 0.5, 0.0562?\nAnswer: 0.0562","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.7 + -9. Sort -1, -3\/8, l in ascending order.\nAnswer: -1, -3\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -881 + 99. Let o be 0 + 1 - 7446\/19. Let n = d - o. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 6*b - 1. Let w(p) = 1. Let f(i) = -j(i) - 4*w(i). Let m be f(-7). Differentiate m*g**2 - 2*g - 1 + 2*g - 1 wrt g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 693\/30 + 1\/(-10). Suppose 83 = 12*w + z. Suppose 3*n - w*k + 11 = 0, -7 = -n - 2*k + k. Solve 3 + n = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 9*i - 20 = 0, -736 = 3*k + i. Let x be -251 - (1 - (15 - 9)). Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480587?\nAnswer: 480587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 431*f + 1156*f + 962*f + 868*f as p*f + x and give p.\nAnswer: 3417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -241 divided by -78.\nAnswer: 241\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5 + 461*g**3 - g**5 - 2*g - 461*g**3 - 85*g**4 - 3*g**5 - 219*g**2 wrt g.\nAnswer: -120*g**2 - 2040*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/220 and 39\/21505?\nAnswer: 86020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 2. Let x be ((-8)\/(-5))\/(v\/(-5)). Let p be (1020*175)\/(6\/x). Round p to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-21) + (-1710)\/(-21) - -4. What is the greatest common divisor of n and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 6:26 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeaaeee. Give prob of sequence aee.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 17. Let o(y) = -7*y**2 + 4*y + 4. Let r(j) = 15*j**2 - 9*j - 9. Give l*r(q) - 9*o(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z - 48. Let f(t) = 64*t**3 + 2*t**2 - 2. Let b be f(1). Let q be (b\/12 - 6)\/(2\/(-21)). Let a be i(q). Solve w - 4 = a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5348)\/(-20055))\/((-2)\/(-117)*-6)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -648109?\nAnswer: 6\/648109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 252476 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32923227 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6686*l - 5466 wrt l.\nAnswer: -6686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*w**2 - 2*w + 2*w + 24*w**2 + 13 as y + f*w**2 + j*w and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*m + 0*m = -525 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377465 is divided by 2508.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -28. Let m = 1685.97 + -1685. Which is greater: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - ((31 - 31) + 0 + -1 + -1 + 5).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**2 + 0*t - 5\/24*t**4 - 1\/60*t**5 + 0 + 2\/3*t**3. Let n = 5 + -11. Give d(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**6)**(-3\/22))**(2\/73))**(-42) assuming i is positive.\nAnswer: i**(882\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1376? (a) 3 (b) -0.4 (c) -4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1159\/13 + 89. Sort b, -3\/7, -13, -2\/7.\nAnswer: -13, -3\/7, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**5 - 2*b**5 + 4*b**5 + (3*b**3 - 6*b**3 + b**3)*(2*b**2 + 2 - 2) + 4*b**5 + 0*b**5 - 8*b**5 + (b + 0 + 0)*(-7*b**4 + b**4 + b**4).\nAnswer: -15*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*n + 148*n = -1113. Let c = 12 - 7. Solve 4*u = w + n, 5*w - 2*u = c + 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)*j)\/(j\/(j\/(j*j**2)))*j**(-2\/11)*j*j*j*j**(-3\/2)*j assuming j is positive.\nAnswer: j**(25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (2 - 0 - (68 - 35))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 218233176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(sqrt(500) + sqrt(500) + (sqrt(500) - ((sqrt(500)*3)**2 + sqrt(500)))).\nAnswer: -22500 + 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a**3 - 2*a**2 + 1. Suppose 0 = -3*u + 2 - 5. Let k be z(u). List the prime factors of k + -3 + 24*1.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.8 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2512324?\nAnswer: 2, 419, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 69. Suppose -6 + 0 = 2*u - f, -5*u - f - 8 = 0. Let x be (-9)\/4*u\/12. Which is the second biggest value? (a) x (b) d (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 7*y**2 - 12*y - 1. Determine c(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23921 - -21361456\/893. Is w >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 15 in increasing order.\nAnswer: -2, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60.744246 + -56.21863232. Let x = 0.22561436 - q. Let r = x - -4.3. What is r rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 10. Suppose -i*b = -2*b + 1. Sort 4, 1, b.\nAnswer: b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/36*-9)\/(8\/(-44))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5 = 5*l, t - 4*l - 4 = 6*t. Let g be 7 + -4 + t\/(-2). Solve -g*z = -7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 - 2*r**2 + 0*r**2. Let y be q(-2). Suppose 0 = -5*g + y + 12. What is the remainder when 10 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 14 (c) 5505 (d) -2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51359 (base 14) in base 16?\nAnswer: -2fba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijii when four letters picked without replacement from ijiiiiiiiiiiiijiii.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.4, -4.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.2 + -0.353?\nAnswer: 24.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 5*n**4\/4 + n**3\/2 + 7*n**2\/2 - n. Suppose -5*s = -5*q - 30, -s - 25 = 5*q - 13. What is the tens digit of k(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 14*q**3\/3 + 21*q**2 - 3*q - 23. Let k(f) = f + 1. What is i(w) - 42*k(w)?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 8:17 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.08, -4\/9, -0.258, 3365?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, t: 3, e: 1, x: 5}. What is prob of picking 1 d, 2 t, and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(86\/(-84) - -1). Suppose y - b = -2*y. Solve 3*u - y = -5*v, -3*v + 8 = -4*u - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (399\/171)\/((-42)\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 918 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3882, -3881, -3880?\n\"Answer: d - 3883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -72*t - 139. Let g be k(-5). Suppose 4*u = 17*u - g. Solve 15*v - u*v + 6 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -22?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 589805, 1179605, 1769405, 2359205?\nAnswer: 2949005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 141909*x**3 - 141937*x**3 - 31 + 47 to c*x**2 + z + q*x**3 + u*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 899107420 to the nearest integer?\nAnswer: 29985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 851*x**2 - 4*x - 5456 wrt x.\nAnswer: 1702*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -46184*u + 10. Let i(g) = 61593*g - 13. What is 10*i(h) + 13*j(h)?\nAnswer: 15538*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 191.00000091 + -191. What is k rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 167640 and 2520.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75070260 is divided by 843486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-2)*(-120)\/36. Let j be 4 + 2\/(0 + 2). Let s(p) = 17 - j - y + p. Calculate s(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.711485l to millilitres.\nAnswer: 4711.485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16036 (base 9) to base 3.\nAnswer: -120001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + 4 + sqrt(49)\/sqrt(7) + -2 + (2 + sqrt(42)\/sqrt(6))**2.\nAnswer: 5*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (7 - -2 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.471 + -0.371. Let j be (-4)\/18 + 1135\/45. Let b = -85 - -84.5. What is the second biggest value in -2, u, b, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(1*sqrt(28)*-1 + -2*sqrt(84)\/sqrt(3)))\/((sqrt(36) - 6*-1*sqrt(36)) + -1*sqrt(1296)).\nAnswer: -4 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -183879434\/492855 + -26\/44805. Let i = f - -372. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 6*q**2 + q + 4. Suppose 0 = 3*v - 2*v - 4. Let x(o) = -o**3 - 7*o**2 - 2*o - 5. Let y = -1 - -4. Let w(r) = v*l(r) + y*x(r). What is w(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 334*l**5 + 3 - 1 - 363*l**5 + (-67*l**4 + 2144*l**2 - 2144*l**2)*(0*l + 0*l - 3*l).\nAnswer: 172*l**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*h + (-5*h + 2*h + 2*h + (-2 - 2 - 1)*(-2*h + 9*h + 0*h))*(9 + 0 - 5).\nAnswer: -146*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/5 + 32*h**4\/3 + 608*h**3\/3 + 1280*h**2 + 17*h + 131. Factor j(g).\nAnswer: -4*(g - 40)*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -700255642999 less than 4?\nAnswer: 700255643003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -3*d**5\/20 - d**4\/4 + 2*d**3 + 6*d**2 + 6*d. What is p in q(p) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 4*w - 4. Let x be o(4). Let k = -1 - x. Suppose 0 = g - 5*g + 8. Solve -5*d + 10 = 5*y, 19 = 2*y + k*y + g*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -21121?\nAnswer: -21102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61138 + -0.9.\nAnswer: 61137.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*j - 65*j - 30*j - 5*j**3 + j**3.\nAnswer: -4*j**3 - 62*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*c. Find the common denominator of 0 + c + 44\/(-40) and (-11)\/2 + 4\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3448821*l - 3448851*l = 810 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*z**2 - 2\/7*z**5 + 0*z - 4\/7*z**4 - 2\/7*z**3.\nAnswer: -2*z**3*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*n = -51*n - 106. Let u = -73 - -71. What is the nearest to 2 in -4, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 25*n - 33. Let c be y(7). Suppose j - 780 = -5*l, -l - 5*j = -2*j - c. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3720728059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6128 is divided by 180.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004317724 to 4 dps.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22034 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92898.\nAnswer: 2, 3, 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 241.9809 + -242. Let w = r + 0.02724. Round w to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2023297.\nAnswer: 2023297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*c + 9 - 3 = 2*i + 301*c, 5*c = -2*i - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4*-8 - 58\/15. What is the nearest to 1\/4 in -4, g, -2\/15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40409 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -90. Let y be 6\/4*(-9 - -7). Let n be 0 + (-10)\/y - a\/(-45). What is the closest to 0.1 in n, -2\/15, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 5\/8*m**4 + 0 - 11\/70*m**7 - 1\/40*m**6 + 0*m - m**3 - 1\/28*m**8 + 13\/20*m**5 + 10*m**2. Suppose s(y) = 0. Calculate y.\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 6, 1, 2\/9 in decreasing order.\nAnswer: 6, 1, 3\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/11 > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5130 - -3084. What are the prime factors of ((c\/24)\/(-11))\/(1\/36)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-15))\/(2\/(-20)). Let g be 2\/l - 35\/(-14). Suppose 6*h - 35 = 1. Solve -g*n + 0*n = -h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, z: 1, x: 4, b: 6}. What is prob of picking 1 e and 3 x?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864304 divided by 4.\nAnswer: -216076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-192)*6*18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 849980*s + 36123300020.\nAnswer: 5*(s + 84998)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*(4 - -20). Let g be 100*((-8)\/56 + 47\/35). Suppose g = 4*w - r. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, -288, -571, -854?\n\"Answer: -283*v + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6*5\/135 + (-15556)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**3 + 16*v**2 + 3*v + 3. Let t(d) = 9*d**3 - 31*d**2 - 7*d - 7. Determine 7*k(g) + 3*t(g).\nAnswer: -g**3 + 19*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 7160*p**2 + 9556*p - 9552.\nAnswer: -(p - 2388)*(p + 2)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (1 - (-1112)\/136)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -169 + 265. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161 - 158. Let m(d) = -d**2 + 5*d - 4. What is the lowest common multiple of 24 and m(p)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 154*c - 168*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24908?\nAnswer: 2, 13, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*h**4 + 3 + 4 + 4 wrt h?\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6585 by 3.\nAnswer: 2195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3672*z + 3677*z - 105. Calculate the remainder when 260 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 8*d + 22. Give h(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17829106.\nAnswer: 2, 19, 313, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - -18. Suppose 32*t - r*t = 198. Calculate the greatest common divisor of 9 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10223.1 + 9548. Round o to the nearest ten.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136 divided by 8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 2*c**2 + 2*c**2)*(-140*c**2 - 491*c**2 - 377*c**2 + (c - 2*c - c)*(4*c - 5*c - c)).\nAnswer: -2008*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -13*z. Let s(f) = f. Let c(x) = -2*k(x) - 22*s(x). Let v be 4\/8 - (-10)\/(-20). Suppose -2*i - 10 = 0, v*q + i = -3*q - 2. Determine c(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47780.\nAnswer: 2, 5, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42757 - -42753. Let f = -4\/21 + 1\/42. Let z = -3.8 + -1.2. Sort f, i, z in ascending order.\nAnswer: z, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197054545 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(36\/24)*-33?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) -0.5 (c) 0.1 (d) -1\/126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 + 177 = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*v + 8*r - 5*r + 124, v + 29 = 2*v - 2*r for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2105204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 7*t + 4. Calculate z(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388\/759981*38\/4?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2. Let b(r) = -r**3 + r**2 + 8*r + 9. Let i(d) = -b(d) - 6*q(d). What is the units digit of i(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*a + 81 - 13 + 6*a)*(1 - 3*a - 1)*(0 + 0 + 4) to v + r*a + h*a**2 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + (-4 - -6))\/((-2)\/4). Let w = 15 + g. Suppose 4*v + w*v - 57177 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Let p(u) = -u**3 + 3*u**2 - u + 2. Let d be p(c). Solve -2 = -2*i + d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 88\/6 + 4\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 4*j**2 - 5*j + 3. Let w be i(-5). Sort -2, w, 5 in decreasing order.\nAnswer: 5, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 981880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7081*z**3 - 18*z**2 - 6*z**2 - 15258*z + 7629*z + 7629*z - 7 wrt z.\nAnswer: -42486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*c = 21, 0 = -2*b + 4*c + c - 12. Let o = b - -10. Let k = -1 - o. Solve k*x = -3*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -750 - -777. Suppose 619 = q*z - 56. Solve 0 = -4*t - t + z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-131451)\/21399)\/((-3)\/(-42))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b7d0 - -466?\nAnswer: -b368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 12*j - 7*j = -31, 4*z + 13 = -5*j. Suppose -7*c + 163148 = -z*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 + 4)*(2 + -5). What is the greatest common factor of v and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 1. Let c(t) = -4*t - 5. Let o be c(0). Suppose 2*y = 5*w - 21, -5*y - w = 4*w. Put o, y, m in ascending order.\nAnswer: o, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 292*x - 146*x + x**3 + 2*x**3 + 4*x**4 + 2*x**2 - 144*x in the form z*x + l*x**2 + q*x**3 + n*x**4 + y and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krf when three letters picked without replacement from {f: 5, k: 13, r: 2}.\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5356*w - 6167*w - 1809*w - 3981*w.\nAnswer: -17313*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + a + 0*a + 3)*(997*a + 170 - 74 - 98) to l + h*a + u*a**2 and give h.\nAnswer: 2989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 18 = -16*c + 16. Solve -z - 6 = 2*v, c*z - 5 = -3*v - 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.35? (a) -7443 (b) 1 (c) -0.7 (d) 0.2 (e) 5 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 3:08 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Calculate the least common multiple of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4\/42 - 34*t**3\/3 + 2023*t**2 - 18*t + 8. Factor n(v).\nAnswer: 2*(v - 119)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + 34*z - 17*z**5 - 34*z + (-6*z**4 + 2*z**4 + z**4)*(z + z - 10*z).\nAnswer: 7*z**5 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 18. Let j be (-73)\/(-4) + n\/(-4). Suppose -v = -j + 19. Is 1\/9 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39124?\nAnswer: 2, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n - 1. Let c(x) = 22*x - 3. Suppose 0 = -6*d + 62 - 38. Give d*c(p) - 11*y(p).\nAnswer: 11*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p**8*p)\/p)*p*(p\/(p*p**30))\/p assuming p is positive.\nAnswer: p**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 66\/7, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -17*l**2 - 2*l + 2. Let c(i) = -69*i**2 - 9*i + 9. What is 2*c(u) - 9*z(u)?\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 + -2 + 522 - -11. What is the greatest common factor of 96 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-4) - -2)*(6 + 2). Let v(i) = -i**3 + 11*i**2 - 21*i - 11. Let d be v(b). Calculate the greatest common factor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 5. Let m = -3179\/8 - -398. Does m = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 21. Let m(d) = -3*d + 20. Let u(r) = -4*m(r) + 5*s(r). Let v be u(7). Solve h + j = v*h + 18, 0 = -3*h + 3*j - 24 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 10:25 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c\/(c\/c**10*c)))*c*c**(7\/5)\/c assuming c is positive.\nAnswer: c**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1870230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063 rounded to 3 dps?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(52)*-1 + sqrt(130)\/sqrt(160)*4*6)**2.\nAnswer: -16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/((-132)\/(-39)))\/1?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2987825989?\nAnswer: 139, 21495151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 9:42 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, x: 9, t: 4}. What is prob of picking 2 x and 2 t?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 2*i**2 - 1\/60*i**6 - 12*i - 47\/6*i**3 + 3\/8*i**4 + 0*i**5 + 0. What is the first derivative of p(x) wrt x?\nAnswer: -6*x**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1160*a**4*i + 867*a**2*i + 52*a + 1001079663*i wrt a.\nAnswer: 4640*a**3*i + 1734*a*i + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 42 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 21. Let h = -13.7 - j. Let g = h + -9.3039. Round g to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, -86, -272, -590, -1070, -1742, -2636?\n\"Answer: -5*n**3 - 21*n**2 + 14*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.35 (b) -15 (c) -1 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 14)*(20*d + 4*d + 155*d - 3).\nAnswer: -2327*d + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(c\/(c\/(c*c\/((c**(-15)\/c)\/c))*c))))\/(c*c\/(c*c**(3\/2)\/c)*c))**(-2\/7) assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6616 - -6618. What is the fourth biggest value in 0, -0.2, 0.19, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46400.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/110178 and -65\/1089538.\nAnswer: 9805842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 4. Let q(y) = -1. Suppose -7*g - 786 = -751. Determine g*q(i) + n(i).\nAnswer: -2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 66 + -38 - (-28 + 0)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5012 is divided by 209?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 3 (c) -5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -u + 1011, 5*o - 1482 = -u - 459. Calculate the remainder when u is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.9 - 2.3. Let q = 38 + s. Let p = q + -4.74. Put 0.1, -3, 0, p in decreasing order.\nAnswer: 0.1, p, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -13*n**3 - 2*n**2 - 3*n - 2. Let i be w(-1). Let r = -19 - -12. Let l be (432\/(-28))\/(1\/r). What is the highest common factor of l and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 598 - 595.12. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -14. Suppose r*h = -4*h + 388. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3165658 is divided by 315?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {j: 1, g: 1, q: 1, t: 1, z: 1, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125 - 43. Let z be 76\/m - (-1)\/6. Let p be 0 + 32\/2 - (2 + 0). Which is the nearest to z? (a) -1\/8 (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*s - 147*s + 183*s - 763*s.\nAnswer: -1058*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from xtrxj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1203*n - 219. Give v(-1).\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 - 19*n + 86. Let r be a(10). Calculate the greatest common factor of 36 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13133390 rounded to the nearest ten thousand?\nAnswer: -13130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or -3545?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 104, 200, 332, 506, 728, 1004, 1340?\nAnswer: 1742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 125332 and -2.59?\nAnswer: -324609.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 - ((-80)\/(-10) - 1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-27) + 16\/9. Let x be -2*1\/(-2)*y. Solve -x*f + 5 = t, -4*t + 7 = f - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*b = -15, j = 4*j + 3*b - 9. Suppose 7 = 4*s + 3. Suppose 0 = -t - s + 2. Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**4\/4 + 32*y**3\/3 + 8*y**2 - 2*y - 61. What is the second derivative of p(f) wrt f?\nAnswer: 6*f + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(44)*3 + 5.\nAnswer: 1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1008*r + 909*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -705936 - -1?\nAnswer: -705935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 171437?\nAnswer: 171441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11836 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-3) - 10\/(-30))*68\/(-51). Solve -5*z + v = 2*r, 7 = -18*r + 17*r + 2*z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(22) - (sqrt(22) + 1*sqrt(352)))\/sqrt(2) - -4*(1 + sqrt(11) + 0)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 6:40 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0*i**4 + 0 + 0*i**2 + 5\/3*i**3 + 2\/5*i**5 - 7*i. Find the second derivative of k(q) wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 17*z**2 - 2022*z - 2160. Give j(120).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 45*f = 490, 0 = -7*c - 404*f + 399*f + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181699045 divided by 3.\nAnswer: -181699045\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*i + 8 = 0, -j - i = -3*i - 6. Determine w, given that -4*w + 2 + 2*w**2 - w**j + w**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5*u + 23 = 0, 4*p + u = 9*p - 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m**2 + 54155*m. Let p(n) = 137*n - 1. What is p(g(a))?\nAnswer: -822*a**2 + 7419235*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7 = f, -2*f - 2 = -3*f + g. Suppose -5*s + f*n + 8 = -17, -22 = -5*s + 4*n. Solve -6 = s*r - 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 3*r + 14, -34*k + 61*k + r - 2995 = 26*k - 3001 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2764278 divided by -125649\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-1)*z)\/(z*z**4*z))\/(z**(2\/5)\/z)**22*((z**1)**(2\/35))**(16\/5) assuming z is positive.\nAnswer: z**(1642\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 294\/(-24)*(1 - -3). Let i = x + 76. Suppose 4*o - 49 = i. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4222140 + 24333?\nAnswer: -4142302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2. Let b(a) be the second derivative of -5*a**4\/12 - 3*a**2 - 18*a - 6. Determine b(q(k)).\nAnswer: -20*k**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2495 - -2704. What is the greatest common factor of 110 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 27*i + 6 + 19*i - 2*i**2 - i**3 - 40*i. Let k be n(-3). Let a(r) = r**3 + 5*r**2 + 2*r - 3. Give a(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20, -342 in increasing order.\nAnswer: -342, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.143354858 rounded to 4 decimal places?\nAnswer: 2.1434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3344, 3358, 3394, 3464, 3580, 3754, 3998, 4324?\nAnswer: 4744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/2)*y\/(y*(y\/y**1)\/y*y))\/(y**(2\/7)\/(y*y**(-9))))**47 assuming y is positive.\nAnswer: y**(-6439\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 307.4 - 307. Let z = 489 + -516. Put w, z, 3 in descending order.\nAnswer: 3, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -864684, -864685, -864686, -864687, -864688, -864689?\nAnswer: -864690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27932)\/(-52) + 2\/(-13). Suppose 3*r + 187 = -4*f - 355, 3*f + m = -3*r. What is the remainder when (12 + -5)*r\/(-7) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6360327.8*0.4\nAnswer: 2544131.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 4056 = 1292. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -19*a + 6. Let r(d) = -1371 - 25*d**2 + 2654 - 1283. What is r(o(v))?\nAnswer: -9025*v**2 + 5700*v - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljj when three letters picked without replacement from {j: 3, l: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37354839 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 499555552 and 48?\nAnswer: 499555504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 39 = 3*m, 3*m + 67 - 133 = -4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 at least as big as 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 127645776 rounded to the nearest 1000000?\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r**3 + 10*r**2 - 10. Let c(m) = -m**2 + 1. What is 60*c(j) + 6*o(j)?\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -946, -978, -1010, -1042, -1074, -1106?\n\"Answer: -32*y - 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (-18409)\/(-12628)*22\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2185*x + 261956.\nAnswer: -2185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a**3 + 145*a**2 - 3*a + 30. Let o(m) = 5*m**3 - 145*m**2 + 2*m - 21. What is -2*f(r) - 3*o(r)?\nAnswer: -3*r**3 + 145*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -0.2, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -2*u - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14668 + 10939. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*z - 15, -u - 12 = 2*u + 3*z. Let v(t) = t**2 - 2*t + 1. Does 12 divide v(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 258883626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5013, 10012, 14993, 19950, 24877?\n\"Answer: -d**3 - 3*d**2 + 5015*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 7. Let x be f(-7). Let j(a) be the second derivative of a + 1\/12*a**4 + a**2 + 0*a**3 + x. Differentiate j(y) with respect to y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Let y be w(9). Let z(s) = 2*s**3 - 8*s**2 + 2*s + 3. Let l be z(5). Calculate the highest common divisor of l and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57360170 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 13*t + 16. Let o be i(-12). Suppose u = 3*k - k - 9, -21 = -4*k + u. Suppose -o*w = 2*m - 12, 2*m - 4*w = -5*w + k. Solve -2*r = -r + m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 14*b + 22. Give z(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) -1\/7 (c) -263710\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**5 - 4140*y**4 - 1134285*y**3 - 100506730*y**2 + 634115220*y - 966822840.\nAnswer: -5*(y - 3)**2*(y + 278)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/26 in 0.5, -1\/6, -5, 0.1, 2289\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4056124.43823 + 73.43823. Let s = v - -4056090.00038. Let k = -39 + s. Round k to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5924*j = -5954*j + 1290 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79.09 + -74.09. What is the closest to -122\/5 in m, -0.5, -0.4, 5\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/16*(4 + 98\/(-21)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 11*s - 126. Let q(j) = j**2 - 17*j + 6. Let g be q(s). What is the highest common factor of g and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17085190, -34170388, -51255586, -68340784?\nAnswer: -85425982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177531156 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*v + 53*v + 1944 = 0. Let w = 86 + -54. What is the smallest common multiple of w and v?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(10\/(-6) - -1). Let d be 30*(w + (-8)\/(-2)). Let g = d + -212\/7. Is g not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 11:06 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**0*z*z))**11\/((z\/(z*z\/(z\/(z*((z**0\/z)\/z)\/z))))\/z*z)**(6\/5) assuming z is positive.\nAnswer: z**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + d = 4 - 3, 29 = -5*f - 3*d. Let u be (-2)\/(f + 20\/6). Suppose -4*g - 2*t = 6202 + 2084, -6216 = u*g + 2*t. What is g rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i - 7. Let s(c) = -9*c + 14. Let m(v) = -2*s(v) - 5*t(v). Let y be m(3). Find the first derivative of -r**2 + y + 4 - 2*r**2 + 0 wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 38 = 4*h + 14, -3*f - 12 = 0. Let d be (h + -32 + -2)*-1. Suppose 0 = -2*y + 23 - 1. What is the greatest common factor of y and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - -1f0b2ba?\nAnswer: 1f0b2c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -207, -380, -553, -726, -899?\n\"Answer: -173*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 16*g**2 - 6*g - 197. What is j(-16)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**3 - 4*w**2 + 16*w - 26. Let i be s(-8). Suppose -3*t - 336 = -i. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -27*r**3 - 10*r**2 + 2*r + 3. Let t(n) = -14*n**3 - 4*n**2 + n + 1. Give -2*l(a) + 5*t(a).\nAnswer: -16*a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 18. Let u = z + 5. Suppose 4*d - w = u, 2*d + w - 5 - 3 = 0. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 92*b + 117. Let a = 446 - 439. What is the tens digit of y(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**4\/12 - n**3\/6 - 2*n**2. What is the units digit of g(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198771645 less than 0.177?\nAnswer: -1198771644.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*((-15)\/(-6) - 2). Let l = 2 - d. Calculate the greatest common factor of l and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 977\/200 + 3\/200. Calculate the common denominator of j and -1 - (9\/(-11) - 0).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45041, -180171, -405387, -720689, -1126077, -1621551?\n\"Answer: -45043*t**2 - t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4.337764 weeks?\nAnswer: 2623479.6672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33861243 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 823672 - 18423660 = 0. Suppose -109999950 = -21*v - 4*v. Suppose 2*m - s = 3*x, m + 0*m - v = x. Round m to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11375 by 91.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24325?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135436\/2433 - -1\/2433. Is o != 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 20220?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -31*l**3 + 186*l**2 - l + 19. Calculate m(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52133 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*m + 27*m - 120. Suppose 180 = 3*c + m. What is the highest common divisor of 220 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**6\/540 + d**2 - 3*d + 2. Let c(p) be the first derivative of g(p). Let n(i) be the first derivative of c(i). Factor n(w).\nAnswer: 2*w**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64746, -129127, -193508, -257889?\nAnswer: -322270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67\/441 - -2\/49. Let l be (3 - (-4)\/(-1))\/(1\/(-20)). Let a = -141\/7 + l. What is the third smallest value in a, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from {b: 12, e: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0158 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2568*j + 2576*j + 72 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 952116.5 milliseconds to nanoseconds.\nAnswer: 952116500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*z + 5. Let r be (z - 13)*(-1)\/2. Solve -2*v + r = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c. Let o(f) = 18*f**2 - 2744*f + 6. Calculate k(o(b)).\nAnswer: -36*b**2 + 5488*b - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (190\/15)\/(340\/(-30)) + 1\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((1 - 2) + 1)\/2. Solve a = -3*v + 3 - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/60988 and 19\/1422?\nAnswer: 548892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o*w**3 + 139*o*w - 10*w**3 + 3*w with respect to o.\nAnswer: w**3 + 139*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-4) + (2 - 6). Let m be d + (4 - (-36)\/(-6)). Solve 0 = -4*x - m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 15*l - 32 = 0. Is -12 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -23\/3, 3\/7, -0.4, 1\/54?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/253 or 1?\nAnswer: -10\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 13, n: 1, y: 2, q: 3}. Give prob of picking 3 u and 1 q.\nAnswer: 143\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1352004912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h = 9*h + 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60991 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1040934226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*k**3*w + 3*g*k**3 + 5*g*k**2 - 2*g*k - 255117*g*w - 340 wrt w.\nAnswer: g*k**3 - 255117*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92510*j - 92634*j + 2 + 1)*(2 - 2*j**2 - 2)*(3*j - 3*j - 2*j).\nAnswer: -496*j**4 + 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-72)\/112)\/((-330)\/(-539)))\/((-8)\/96)?\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 415134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032982 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 131 = -132. Let t = 2 - 2. Suppose -3*d - d + 4 = t. Calculate the remainder when d is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33890 + 58195. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4001078 divided by 4.\nAnswer: -2000539\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 + 17*q**5 - 2*q**5 + 3*q**4 - 3*q**4 - q**5 + (2*q + 2*q - 3*q)*(-2*q**4 - q**3 + q**3).\nAnswer: 11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -386, -768, -1148, -1526, -1902, -2276?\nAnswer: -2648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 1048*q**2 - 4224*q.\nAnswer: 2*q*(q - 528)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4361 is divided by 545.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13213 + 999 = -34*s. Let r = s - -958. Does 36 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o. Let q(i) = 3*i**2 - 10268*i + 90. Calculate q(g(x)).\nAnswer: 192*x**2 - 82144*x + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 999 - 581. Suppose 2*d + 2*j = 1108, 0 = d - 5*j - 124 - i. Which is smaller: d or 553?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, n: 3}. What is prob of sequence unun?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2160, 3941, 4996, 4947, 3416, 25, -5604?\nAnswer: -13849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1139485152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 0*a**2 + a**3 - 9*a + 229 - 231 + 3*a**2. Is 5 a factor of q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 times 0.18801\nAnswer: -4.13622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 2*s**3\/3 - 700*s**2 + 245000*s - 4097. Factor f(r).\nAnswer: 2*(r - 350)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + 0 + 4.\nAnswer: 4 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (1 + -10 + 26)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6405*d - 100 - 98 + 155*d + 198 to the form c + w*d and give w.\nAnswer: 6560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8982734?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 3*y**2 - 5*y + 5. Let l be k(4). Let q(z) = -l + 4*z**2 + 4 - 2 + z**2. What is the units digit of q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 429071 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -43034231 (base 5) to base 3\nAnswer: -200101022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032606 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62024898 divided by -26039?\nAnswer: -2382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1879\/11 - 171. Which is the third smallest value? (a) -1\/8 (b) 2 (c) g (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*p - 96*p - 94*p = -268*p + 1763 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 2, f: 3, j: 4, d: 1, k: 7}. What is prob of picking 1 k and 1 t?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 67531520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00238 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwvwwwvolwwvwwvv. What is prob of picking 1 l, 1 o, and 1 w?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1316589 to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3495331 is divided by 13042.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 9 - 2) + (2 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24871)\/(-34))\/19*154\/(-77).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -17*r. Let c be d(0). Solve 0*i - 4*i = c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*r + 9 = -21, 0 = -2*r + 4. Suppose 3*y = 5*x - 115 + 314, 4*y - 273 = -x. Calculate the remainder when y is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 1. Let k be 1\/(-5) + (-9)\/(-10)*-2. Let m(a) = 7*a**3 - 3*a**2 + 4. Let z(l) = k*m(l) - 6*h(l). What is the first derivative of z(q) wrt q?\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 353*y**2 - 320*y - 4. What is z(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -20312\nAnswer: 5\/10156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a - 1337 = -1157 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/1 - -1)*-5. Let c = 19 - b. Factor 23*n + 213*n**4 + 7*n**4 + 12 - 76*n**3 - 92*n**2 + c*n - 100*n**5 + 4.\nAnswer: -4*(n - 1)**3*(5*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**4*j))\/(j\/(j*j**(8\/7)))*(j\/((j*j*j**(-16)*j)\/j))\/j**(-2) assuming j is positive.\nAnswer: j**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1321 - 1321.5. Which is the fourth smallest value? (a) -3 (b) 7\/3 (c) s (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivccyvkkvzczviy. Give prob of picking 1 z, 1 i, and 2 y.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**3*r**3*y + q**3*r**3 + 4*q**3 + 3*q*r*y + 785*r**3*y + 111*r**2 wrt r?\nAnswer: 18*q**3*y + 6*q**3 + 4710*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14731490 to the power of 1\/2, to the nearest integer?\nAnswer: 3838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -264*z + 9*z + 25*z - 17 - 40*z - 207*z with respect to z.\nAnswer: -477","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 + -0.4. Let j = 138834.300042 - 138832.6. Let b = f - j. Round b to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9603 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 7. Let v = -6 - q. Which is the nearest to -0.1? (a) 0.3 (b) -3\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -576*n**2 + 106. Let b(p) = 2*p. Calculate d(b(m)).\nAnswer: -2304*m**2 + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, g: 8}. What is prob of picking 2 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1300 and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2.9, -5, -0.4?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 + 36\/(-36) + 45\/3. Let w be (2 - (1 + -1)) + 14. Solve g*c - w = 5*b, 0 = -4*b + 3*c + 3 - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5 - 132608*d**4 - 3184732*d**3 - 5441128*d**2 + 8758464*d = 0.\nAnswer: -22, -3, 0, 1, 33176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 3294312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v**2 - 4*v**2 - 3*v**2)*(3 - 2 - 7)*(0 - 4 + 3) to the form m*v**2 + p + c*v and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -22. Let -11*t - 6*t - 15*t - i + 20*t**2 = 0. Calculate t.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m**2. Let a = -23 - -25. Let p(w) = -6*w**2 - w**2 - 8*w**a + 12*w**2. What is p(b(d))?\nAnswer: -147*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 269627538?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3480, -3, -1, 1455 in descending order.\nAnswer: 3480, 1455, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 20 = 2*b - 5*n, 3*b - 3*n - 39 = 0. Let w be ((-36)\/b + 2)*-10. Suppose -5*z - 5*c = -7 - 8, w*z - 4*c - 36 = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 2*u - 2*u)*(-u**2 + 1 - 1) + (-2*u**4 - u**4 + u**4)*(-3 + 1 + 0) + 190*u**4 - 363*u**4 + 185*u**4.\nAnswer: 19*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 + 12 = 0. Suppose 3 = -q + 2*r, r = m*q - 9 - 21. Let a = 16 - q. What is the remainder when 26 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, y: 5}. Give prob of sequence yyy.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 210*m + 1127. Let c be v(-5). Let q(j) = -15*j - 4. Let a(x) = 286*x + 77. Give c*q(w) + 4*a(w).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -273, -23.968, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -39.169 and 33.\nAnswer: -6.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 56380.\nAnswer: 8\/14095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 7*m**5\/60 - 7*m**3\/6 - 33*m**2. Let w(c) = -4*c**2 + 3. Determine 2*a(o) + 5*w(o).\nAnswer: -6*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 - 15*k**3 + 175*k**2 - 340*k**2 + 184*k**2.\nAnswer: -(k - 1)*(3*k - 2)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43, -73, -87, -85, -67?\n\"Answer: 8*w**2 - 54*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71699*i - 283292 wrt i.\nAnswer: -71699","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1013297*s**3 - 28 + 3*s**2 - 3*s**2 - 1013296*s**3.\nAnswer: s**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*g + 5*m - 3, 5*m = -20. Let i = g - 11. Let t be (1\/(-8)*6)\/((-6)\/16). Solve -i*u + 23 = t*a - a, 3*a + u + 1 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 7*k**2 - 3. Let v be i(-3). Suppose -17 - v = 5*p. List the prime factors of 7 + -7 - 2*p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113797470, 113797469, 113797468?\nAnswer: 113797467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 - 5*y**2 + 5*y - 5. Let a(q) = 0*q**2 - 4*q**2 + q**2 - 2*q**3 + 3*q - 3. Calculate 5*a(j) - 3*h(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 82 = 3*m, 0 = -h - m + 3*m + 41. Let q = h - 49. Let f = q - -78. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -316 in 0.1, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*f + 350*f - 161*f + 334*f - 10350 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-99)\/22*9\/((-108)\/272). Calculate the highest common divisor of 663 and j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 18*g + 215*g**2 - 18*g - 215*g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60035306 to the power of 1\/2, to the nearest integer?\nAnswer: 7748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*u + u, -2 = h + 3*u. Suppose -3*r - 5*x + 5 = 0, -3 = -4*r + 2*r - 3*x. Put r, h, -2 in descending order.\nAnswer: h, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2147161 from 8075.7.\nAnswer: -2139085.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2\/m*m)\/m)**11*m**(-1)\/(m*m**(-2\/15))*(m*m**(-1\/3))\/(m*m**(-3\/5)*m)*m**(1\/7)\/m**4 assuming m is positive.\nAnswer: m**(159\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - 15*t + 4. Let i = -33 - -38. Let s be r(i). What is the derivative of 114 - 119 - 2*z**4 - z**s wrt z?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -278.56 and -3?\nAnswer: 275.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09627 and 42409808.4.\nAnswer: 42409808.30373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3171290, 3171292, 3171294, 3171296?\nAnswer: 3171298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1258197161?\nAnswer: 13, 29, 3337393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 227*l + 2126. What is n(-9)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (1 - 0) + 4. Let c be l\/(-18) + 8\/36. Suppose c = -u - 3*u + 148. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**5\/3 + 8*l**4\/3 + 10*l**3\/3 + 4*l**2\/3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 3. Let l be d(7). Let j be (12\/9)\/(l\/(-18)). Let a(f) = f**2 + 5*f + 6. Let x be a(-5). What is the greatest common divisor of j and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(13)*2 + sqrt(13) + 2*-3*sqrt(13))**2 + 4.\nAnswer: 66*sqrt(13) + 1586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7022887 is divided by 378?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1106159*a**2 + 3*a - 17843 wrt a?\nAnswer: -2212318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f - 7 = 2*q, -11 = -4*q - 3*f. Find the common denominator of (-194)\/28 + (q + 0)\/1 and ((-166)\/5)\/(2*4).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {l: 1, t: 1, k: 1, p: 2, f: 4, n: 6}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929553?\nAnswer: 3, 309851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/36 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f**4 + 4*f**3 - 3*f - 4. Let k(d) = 24*d**4 + 11*d**3 - 8*d - 11. Let y(m) = 4*k(m) - 11*n(m). Find the second derivative of y(j) wrt j.\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10231.741 rounded to the nearest ten?\nAnswer: -10230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/115785 and 77\/380970.\nAnswer: 11810070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4715?\nAnswer: 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -10*q**3 - 79*q**2 + 10*q + 4. Let o(k) = -18*k**3 - 159*k**2 + 19*k + 7. What is 6*o(b) - 11*x(b)?\nAnswer: 2*b**3 - 85*b**2 + 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236198619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1930*x**3*y**3 - 24*x**3*y**2 - 2*x*y**3 + x*y + 53*y**3 + 301*y**2 wrt x.\nAnswer: 11580*x*y**3 - 144*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104259110 + 2?\nAnswer: 5104259112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 84.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/22176 and -17\/26208.\nAnswer: 288288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -2*v**7\/7 + 10*v**3\/3 + 11. Find the third derivative of j(s) wrt s.\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15139 * -5.1.\nAnswer: -0.772089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -199*x**4 - 150*x**2 + x + 149*x**2 + 5*x**3 - 6*x**3 in the form w*x + o*x**2 + u*x**3 + c*x**4 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 262424 + -160803. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -256\nAnswer: -51.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 70 = -3*b. Is (0 - 753)*b\/(-42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 11. Let y(p) = -16*p - 279. Let u be y(-17). What is j(u)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f**4 - 1612670875*f**3 + 86690244766997040*f**2 - 1553364785723346047269120*f - 776682414534234416967680 = 0.\nAnswer: -1\/2, 53755696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s + 3. Let m(y) = 12*y + 9. Let w(o) = 6*m(o) - 21*q(o). Let f(b) = 141*b. Let g(x) = -211*x. Let l(u) = 3*f(u) + 2*g(u). What is w(l(k))?\nAnswer: -12*k - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1001*i - 1 + 2 + 1092*i as y + x*i and give x.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1203 - -3?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6724934 divided by -2\nAnswer: -3362467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + -12 + 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 18 = 5*b - 11 - 12, -6*b + 6 = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.58 and 0.9359.\nAnswer: -10.837722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -121815882.\nAnswer: -121815879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 - 4*h + 4. Let c be i(-5). Let k be 2 + c*(-2)\/1. Suppose 2*u + 3*l = 24, k*u - l = 3*l + 8. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/22)\/((-224)\/(-1584)*-9)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1788 or 1791?\nAnswer: 1788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19645662607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 4*d + 8. Suppose 5*p + 5*g = 3*p + 6, -4*p = -5*g + 48. Let x be a(p). Suppose -s = 4*s - x. What is the greatest common factor of 136 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 559, 0 in increasing order.\nAnswer: -2, 0, 1, 559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11*m - 277*m**2 - 282*m**2 + 23*m + 560*m**2 + 26. Let g be v(-34). Sort 2, -5, g, 4 in ascending order.\nAnswer: -5, 2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -4021?\nAnswer: 9\/4021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*x + 8 - 4 = 0, 10 = -5*x. Let l be -2 + b + (1 - 0). What is the remainder when 71 is divided by 41 + (-3 + -4 - l)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9*(((-40)\/(-15))\/(-4) + 1). Suppose 416 = q + v*a, -3*q - 2*a + 605 = -678. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*x + 10*x - 176 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5909.90271973 - 0?\nAnswer: 5909.90271973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/2, -65, 2\/22773 in descending order.\nAnswer: 1\/2, 2\/22773, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 1. Let n be -2 - 1 - (0 - (23 + -4)). Let t be (-21)\/(-4) - n\/64. What is u(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 58701891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - 6. Suppose 8*p - v*p = 825. Suppose d - p = -4*d. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/9764 and 71\/28?\nAnswer: 68348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/9, -4.35, 9, -163, 1 in ascending order.\nAnswer: -163, -4.35, -1, -1\/9, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -25*u**8\/84 + 152*u**7\/21 - 214*u**6\/5 - 1216*u**5\/15 - 128*u**4\/3 + 6*u**2 - 16. Factor v(i).\nAnswer: -4*i*(i - 8)**2*(5*i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 288 = -24*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -41*n**2 + 8*n + 115. Calculate l(-6).\nAnswer: -1409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**10*w*w)*w**(-4))**(-3\/5) assuming w is positive.\nAnswer: w**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (1 + -1 + -8 + 11 + -7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1306574 and 1.\nAnswer: -0.1306574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 14*w**2 - 18*w - 16. Let n be g(-15). Suppose -n = -2*c - 11. Solve 3*q = 3 + c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 5, t: 3, p: 3}. What is prob of sequence yy?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4*(v\/v**5)\/v)\/(v**(-5)*v**6))\/(v\/(v*v**(2\/11)*v)*v*v*v**3\/v*v*((v*v*(v*v\/(v\/(v\/(v**1*v))*v)*v)\/v)\/v)**21) assuming v is positive.\nAnswer: v**(-64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + 1*sqrt(684) + sqrt(684) + 5 + sqrt(684))**2.\nAnswer: 180*sqrt(19) + 6181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5103 and -1875946340.\nAnswer: -1875951443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 10 - -12 - ((-11 + 13 - 2) + 16)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/6 (b) -0.5 (c) 3 (d) 1\/5 (e) 0.0207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 469638 and 28039128.\nAnswer: 757056456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 7*y**2 + 4*y - 5. Let p be x(-6). Suppose 5*k = p*q - 3*q + 19, -6 = 2*k - 5*q. Which is greater: k or 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Suppose 0 = -a + 6*a - g*y - 735, a - 135 = -2*y. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -79. Let h = -4 - -10. Suppose m = h*i + 2*i - 800. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93443 and 40047.\nAnswer: 280329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 124141 (base 8) in base 15?\nAnswer: cb8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(0 - 1 + 2) - 3 + 2 + 2 - 1 - 2 + 1 - 3 - 1 + 3)*(-6*m + 19 - 19).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**3 - 16784*c - 56028 wrt c?\nAnswer: 3*c**2 - 16784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d8 + 1?\nAnswer: -1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*v = 50, -2*w + 62 = 3*w - v. Let n = w + -9. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ab918 (base 12) in base 3?\nAnswer: -220012122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((110\/2)\/11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2177*y - 11324 - 30039 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.1. Put x, -2\/3, -2\/13 in decreasing order.\nAnswer: x, -2\/13, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -3. Let u be (174\/27 + -7)*(-2)\/(-5). Which is the second biggest value? (a) w (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t - t)*(5 - 5 - 1)*(-222 + 327 + 63 + 304).\nAnswer: -1416*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a (base 12) in base 14?\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 422298 and 1271748.\nAnswer: 110642076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77624 and 313000?\nAnswer: 9703000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1768.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 863082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*u - 54*u + 14. Solve 0 = 2*x - u*s - 2, 0 = x + 5*s + 4 - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, r: 5, p: 4, u: 1}. What is prob of sequence pph?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 + 5 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 23, -1818, 0.1, -8 in descending order.\nAnswer: 23, 0.1, -4, -8, -1818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 664, 421, 178, -65, -308, -551?\n\"Answer: -243*z + 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1219 + 1182 + 1 + 17.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5264\/(-17 - -33) - -4 and 3.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y**19*y)\/y)*y\/y**(-1\/6) assuming y is positive.\nAnswer: y**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 2. Let h be g(6). Let o be ((-3 + 2)*(-69)\/(-54))\/(-1). Let z = o + -3\/2. What is the nearest to z in 2\/3, h, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5460 divided by 13\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/52 and -121\/234.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351)*1*-6 - sqrt(351))\/(sqrt(3888) - (-3*sqrt(3888) - sqrt(3888))).\nAnswer: -7*sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a, 2*a + 575 = -3*x + 190. Is x equal to -128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/10 - (-178)\/10. Let b be (24\/y)\/((-4)\/18). Let a be ((-2)\/b)\/((-5)\/(-15)). Solve 0 = f + a - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrryryrrrry. What is prob of picking 2 y and 2 r?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40367051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5317 + 5357. Calculate the least common multiple of h and 128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by 8?\nAnswer: 43\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -635*w = -657*w + 2640. What is the highest common divisor of w and 35160?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 361.31 + -363.31. Sort 2\/7, 1\/6, -11.3, 5, c in decreasing order.\nAnswer: 5, 2\/7, 1\/6, c, -11.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -2884611807.\nAnswer: -2884611807.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 22 = -2*m + 5*z, -3*m - 2*z = 1. Suppose n + 4*n - 290 = -5*y, -n = m*y - 64. Calculate the greatest common factor of n and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 26*w**2 - 63*w - 351. Is 68 a factor of u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 195*m**2 + 1812*m + 4879. Give o(204).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 341*b*l**4 - 28*b + l**5 - 3*l + 2 wrt l.\nAnswer: 4092*b*l**2 + 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/45)\/((-165)\/(-50))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209744?\nAnswer: 2, 3, 31, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3 = -4*k, -5*g = -9694*k + 9699*k + 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k + 4. Let p be l(-4). Let q = p + 16. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/3, 0.2, 894?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 3*a**3 - 2*a**4 - 3 + 2*a**3 + 4 to r*a**4 + c*a**2 + q*a**3 + z + n*a and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = 3*q - 3*d, 4*q + 2*d = -94 + 664. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-33)\/((-1 - 0)*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*q**2 - 9*q - 63*q**2 + 11*q.\nAnswer: 137*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q. Let y(c) = -c**2 + 2. Let h(x) = -2*x**2 + 3. Suppose 5*f + 0*w = 3*w - 6, -6 = -f + 3*w. Let v(k) = f*y(k) + 2*h(k). What is v(s(u))?\nAnswer: -81*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, 25 in increasing order.\nAnswer: -1, 9, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feyfffeqyffqqfy. Give prob of picking 3 f.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 29*c - 26. Let t(l) = -11*l + 10. Let h(d) = 8*t(d) + 3*v(d). Let p(x) = -4*x + 9. Give 26*h(a) - 6*p(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 23*i**3 + 28*i - 873. Is g(42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17 + 0.03. What is the third smallest value in 7, m, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u + 0 - 2 + 4 - 5*u. List the prime factors of w(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k. Let v(x) = 12*x. Let g(q) = -11*q. Let r(u) = 6*g(u) + 5*v(u). Give s(r(y)).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 101011000 (base 2) to base 10\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/5 - 2)\/((-4)\/160). Solve -1 = -5*v - q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000110001100010100100 + -101?\nAnswer: -10111000110001100010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11729 * 36\nAnswer: -422244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.0005 - 19. Round c to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -145\/162507 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 7:46 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -3*b**5\/20 + b**4\/6 + 12*b + 2. Let p(x) be the first derivative of c(x). What is the third derivative of p(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i**2 - i. Let y(s) = 62*s**2 + 12*s - 12. Let j(q) = 9*q**2 + 2*q - 2. Let b(d) = -6*j(d) + y(d). Determine b(w(f)).\nAnswer: 512*f**4 + 128*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12952483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121.9 + 15.1. Let p = q - 136.8. Put p, 5, 3\/5 in descending order.\nAnswer: 5, 3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038079 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268, 269, 260, 241, 212, 173?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-2) + (1 - 0). Solve p*b + 4*j = 19, -b + 21 = 4*b + 4*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**4\/24 - 3*q**3\/2 + 453*q**2. Determine t(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1511 + -2.1511. Sort q, 0.2, 8 in descending order.\nAnswer: 8, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-14) - 2004\/(-14) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.5, -2, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/30*(-4)\/(-7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by (-2 + 51\/(-3))*(1 + -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37071, -37058, -37031, -36984, -36911, -36806, -36663?\n\"Answer: w**3 + w**2 + 3*w - 37076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 + 148 - 26*n**2 + 28*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvvx when four letters picked without replacement from {x: 8, v: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 304768152?\nAnswer: 1\/76192038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -325 + 34?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158 and 165821?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:20 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + 3*x + 0*x**3 + 2*x**2 - 5*x - 4*x**3 - x**4 to the form t*x**2 + k*x**3 + p*x + j*x**4 + f and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 - 22713\nAnswer: -22709.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 0.3 (c) -17 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-3 + sqrt(2299) + (sqrt(2299) - (1 + sqrt(2299))))*6 - -1*(sqrt(2299) - sqrt(2299)*-2)*-5))**2*1 + -5.\nAnswer: 4554*sqrt(19) + 186743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*w**2 + 85*w - 85*w.\nAnswer: 93*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -1)*(-3 + 4)*-5. Solve -3*j**4 + 3*j**x + 44 - 86 + 42 - 9*j**3 + 6*j + 3*j**2 = 0 for j.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-7)\/(-84)*12\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -23*j - 3. Let t(l) = 2*l - 3*l + 12*l + 0*l - 2*l. Determine o(t(a)).\nAnswer: -207*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-55)*0)\/((-8)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116798299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - 8*c**2 - 3*c. Calculate the remainder when y(-4) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 55008, -2, -0.4?\nAnswer: 55008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (15 - 16 - 15)) + -16.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13577 - -0.137. What is a rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 54*r + 78. Let p(t) = 2*t + 3. Let g(v) = -78*p(v) + 3*q(v). Let b(i) = 10*i + 7. Give g(b(f)).\nAnswer: 60*f + 42","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -32?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdc when three letters picked without replacement from {k: 2, c: 7, t: 2, d: 1}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biiivvipipi. What is prob of picking 1 i and 1 p?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 87866 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/5 - 13188*u\/5 + 13184\/5.\nAnswer: 4*(u - 3296)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -17\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 346\/7 + -49. Let l = 3.72 - 4.7. Let n = l - -0.98. What is the biggest value in 1\/2, n, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22243*s**3 - 5*s**2 + 7*s - 2 wrt s.\nAnswer: 133458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(3\/7)\/r)\/(r*r*r*r\/r**(1\/3)))\/(r**(-1\/5)\/r**(-3\/5)))**(-20) assuming r is positive.\nAnswer: r**(1948\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (51\/5)\/(4 - 39\/(-6)). Let s = 39\/35 - w. Factor 3\/7 - 4\/7*l + s*l**2.\nAnswer: (l - 3)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/32 + 11\/8. Suppose -12 = 2*a + 4*z, -5*a = -z - 2 - w. Solve a = -4*i + i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 34812713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -340, -680, -1030, -1396, -1784, -2200, -2650, -3140?\n\"Answer: -h**3 + h**2 - 336*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14097.2652 plus 0?\nAnswer: -14097.2652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(13)) - (sqrt(13) + sqrt(13) + -1 + -5))**2.\nAnswer: -14*sqrt(13) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkskkkkjkkjskkkkj. What is prob of picking 2 k?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 30*t - 4. What is i(7)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 1 - (3 - (-7 + 8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1408? (a) 2 (b) 1\/4 (c) 8 (d) 4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8699351.\nAnswer: 8699351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 190 + -188. Suppose -p + 35 = -5*q, -17 = -0*q + 4*q - 3*p. Let y = -5 - q. What is the second smallest value in -5, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1\/4 (c) 1\/7 (d) -15.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**5 + 4545*i**4 - 85*i**3 - 77265*i**2 + 80*i + 72720 = 0?\nAnswer: -909, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 - 89. Let r be 2\/4 + z\/4. Suppose 20 + r = 3*v. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7 + 15\/(-28)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*q = -12, 4*p + 8 = -8*q + 6*q. Suppose p = -17*m + 1022 - 342. What is the highest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meho when four letters picked without replacement from onooheooohommohhehm.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from vxquvvvxur.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2017 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0.08. Let c = -636 + 633. Sort -1, c, 1\/3, b in descending order.\nAnswer: 1\/3, b, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 14. Let l be b(-6). Suppose -h - q + 3*q = -l, -2*h + 5*q = -16. Let x = 11 - h. Solve -m = -x*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130475843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/93616 and -97\/187232.\nAnswer: 187232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-11))\/((880\/(-242))\/20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Let -i**5 + 25*i**3 - 25*i**y = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355171658.\nAnswer: 2, 23, 37, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10690 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1202 and 149722040.\nAnswer: 149720838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 57318\/27727 + (-16 - (-1700)\/119)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1936 (base 15) to base 13.\nAnswer: -2634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 4:14 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12*r**3 - 6*r - 10. Let i(h) = 4*h**3 + 2*h + 3. Let t be -2*(-5)\/(10\/(-3)). Let n(l) = t*q(l) - 10*i(l). Find the second derivative of n(s) wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**9\/30240 + g**6\/120 - g**5\/20 - 3*g**2. Let u(r) be the third derivative of m(r). Differentiate u(f) with respect to f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 271530959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31009134 and 1170156?\nAnswer: 62018268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 50017 = -2*g, 5*g - 16*i = -19*i + 125214. Is 44 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33550 and 2905650?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*sqrt(300)*1*2)\/((3*sqrt(108)\/sqrt(3))\/((sqrt(30)*-2 - sqrt(30))\/sqrt(5))).\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*b = 6 + 33, -3*p + 41 = -4*b. Let u(z) = z**2 - z - 1. Let k(r) = -3*r**2 + 7*r - 8. Let c(n) = -k(n) - 2*u(n). List the prime factors of c(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40, -137, -234?\n\"Answer: -97*s + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2078 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 2*g**2 - 2*g - 3. Let u be p(-2). Suppose -z + 2 + u = 0. Suppose -32 - 6 = -18*v + 52. Solve -j - 3 = v*f - z*f, -4*j = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**5 - 36*s**4 - 23*s**3 - 5*s**2 + 2*s - 1697.\nAnswer: 120*s**2 - 864*s - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5cbb8 (base 13) in base 7?\nAnswer: 1312031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6868319 or -6868327?\nAnswer: -6868327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1629886, 3259794, 4889700, 6519604?\n\"Answer: -a**2 + 1629911*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 143681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f. Let r(j) be the first derivative of 0*j**2 + 2\/3*j**3 - 18 + 0*j. Determine r(i(g)).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/48)\/(30\/24))\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548650?\nAnswer: 2, 5, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, 1.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 3*w**2 - 11*w - 40. Let f be u(-7). Suppose -f*n + 573*n = 0. Solve -5 = -n*t + t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167563 is divided by 209?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201903912 divided by 1057.\nAnswer: -191016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184 - 191 - (-1 - (1 - 8)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 - -100. Let z be 7\/f*(5 + 40)\/(-3). Is (-11)\/(-2 - z\/55) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*s = -4*s - 50091, 4*p - 2*s = 50090. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-6)*(-104)\/5. Let o = x + 102. Let r be o + ((-33)\/(-9) - 1). What is the second smallest value in r, -3\/7, 7\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -14 - 28*u - u**2 - 3 - 2*u**2 + 5*u**2. Let o be f(14). What is the third smallest value in 0.3, o, -0.5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181275 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733961376 to the power of 1\/2, to the nearest integer?\nAnswer: 41641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -10 + 4 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 120526565*c + 602632950.\nAnswer: -5*(c - 5)*(c + 24105318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/231*56\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w**2 + 5*w + 5. Let g(l) = -4*l**2 - 2*l - 2. Let i(u) = 10*g(u) + 4*r(u). Let v(k) = k. Determine v(i(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, -7, -38, 2, -2, -5 in ascending order.\nAnswer: -38, -12, -7, -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(-1\/7))\/j)\/j)\/(j**7*j*j)*j**1*j*j*(j*j**(2\/9)*j)\/j)\/((j**(-1\/11)*j)\/j*j**3*(j*j**(2\/21))\/(j**(-5)\/j)) assuming j is positive.\nAnswer: j**(-10838\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*k*m**3*s**2*v**2 + k*m**3*s*v + 2*k*m**3*v - k*m*v**2 + 2*m**3*v - 544*s**2*v**2 wrt s.\nAnswer: -12*k*m**3*v**2 - 1088*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1639.6 * -16.\nAnswer: 26233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 4256.\nAnswer: -1\/1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide (-5)\/((-5)\/8502)*16\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -0.4, 109 in increasing order.\nAnswer: -8, -0.4, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = m, 5*q = -2*m + 132 - 13. Suppose -2*z = 5*s - 366, z - 253 + 34 = -3*s. Calculate the remainder when s is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 - 4 - (2 + -8 + 10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6*d = 0, 4*x + d - 20 = 0. Let j(m) = -21*m + 3. Let c(a) = -11*a + 2. Let n(k) = x*c(k) - 3*j(k). Calculate n(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/48739 and -133\/10370.\nAnswer: 487390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4213608 to the nearest integer?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 87 - 3. Suppose i = -5*p + w, -4*p + 8 = 4*i - 12. Solve -i - 2 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**5 + 28*b**4 + 408*b**3 + 1016*b**2 + 940*b + 300.\nAnswer: -4*(b - 15)*(b + 1)**3*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 * 2096.\nAnswer: 4611.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**5 - 77178*n**4 + 18929232*n**3 - 56324598*n**2 + 56170227*n - 18697680 = 0.\nAnswer: -25969, 1, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6*i**2 + 5*i + 5. What are the prime factors of d(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 3}. Give prob of sequence ffcc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l + 24 = -5*i, -i - 24 = 4*l. Let k(o) = o + 9. What is the units digit of k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + (-2 + 5 - 5). Let b(q) = v*q**2 - 142*q + 142*q. Let y(g) = 36*g**2. Calculate b(y(t)).\nAnswer: 6480*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1 + 489*w**2 - 513*w**2 - 1. Let d(o) = -o**2. Determine c(d(f)).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 80\/24 - 2\/6. Let r(j) = -j**3 + 9*j**2 - 13*j - 6. Let u be r(7). Let y = -14 - -10. Put y, u, -3, g in increasing order.\nAnswer: y, -3, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*168.376.\nAnswer: -33.6752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*h + 38. Suppose -2*y = -4*y + h. What is the remainder when y is divided by (-1 + -7)*55\/(-44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 17*z**2. Let n(u) = -4 + 42*u - 40*u + 4. Determine r(n(l)).\nAnswer: 68*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cb + -10?\nAnswer: -db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5856308 grams in nanograms?\nAnswer: 585630800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 5*w - 3. Let b = 29 + -19. Let t(c) = c**2 + 3*c - 1. Let n(k) = b*t(k) - 4*q(k). Is n(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -26466*k + 79743. What is n(3)?\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w - w)*(0*w**4 - 2*w**4 + w**4) - 6449637*w + 22 - 14*w**5 + 6449637*w.\nAnswer: -13*w**5 + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 324 + 341 - 665.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -10*z - 8*z - 9*z**2 + 18*z. Suppose 0 = -5*v + 6 + 4. Let f(d) = d**v + 14 - 14. Calculate u(f(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -4, -2, -16185, -11, 0 in increasing order.\nAnswer: -16185, -11, -4, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (62 - -7)\/(-1 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.03, -0.4, 417, -1\/4 in ascending order.\nAnswer: -0.4, -1\/4, 0.03, 2\/5, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 631829 and 8903045.\nAnswer: 97933495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -18*w**3 + 7*w**2 + 18*w - 4. What is the units digit of z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4580 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c*n*r**3 - c*n - 22*c*r**3 - 2*n*r**3 - 110*r**2 + 9 wrt r.\nAnswer: 6*c*n - 132*c - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -11\/3 (c) -0.047 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 542*o + 646*o + 1 - 158*o - 1 to the form l + m*o and give m.\nAnswer: 1030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15213?\nAnswer: 3, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 616 divided by 14\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y + 7. Let d(v) = v - 1. Let u(m) = 2*d(m) - l(m). What is the smallest common multiple of 1 and u(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) 2\/31 (c) -296.7 (d) -0.013\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 87*u + 384. Let a = 250 + -239. List the prime factors of x(a).\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (4\/(-1) + 7). Suppose u*f = f. Suppose f = 2*j - 80 + 12. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1157 is divided by 145.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12)*(-2760)\/(-115)*(-22)\/(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002 + -14.09636297?\nAnswer: -14.09836297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-575*v - 654*v + 1356*v)*(-3 + 3 + 3)*(0 - 3 - 2).\nAnswer: -1905*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 16 = 66. Suppose -f = -4*q + 2*q. Put q, 2, -8 in descending order.\nAnswer: q, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3, 4*f - 8*g = -4*g - 64. Suppose -h = -4*h - 45. Let m = f - h. Solve 0*i = m*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 17087*z - 357997. Determine j(-21).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7886*v + 12306*v + 10233*v - 1327*v + 16349*v.\nAnswer: 29675*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 55062.82nm?\nAnswer: 0.00000005506282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**6 - 1412*i**4 + 2*i**3 + 9262*i**2 wrt i?\nAnswer: 840*i**3 - 33888*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 591*g**3 - 4*g**2 + 3*g + 3. Let m(d) = 593*d**3 - 3*d**2 + 2*d + 2. Determine -3*m(f) + 2*n(f).\nAnswer: -597*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -66 + -95c?\nAnswer: -9c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, -3, 2\/7, 0.4, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28 - 27) + 5 + -2. Let a(y) be the first derivative of u*y - 3\/2*y**2 - 4. What is the derivative of a(d) wrt d?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39.25 + 39.4. Sort r, 3, -0.4, -2\/13.\nAnswer: -0.4, -2\/13, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pyyyyyypyyyyy. Give prob of picking 4 y.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*s = 33 + 56, -2*s = 2. Let k = 21 + c. Solve -k*b - 15 = b, -4*b - 2 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 1, -3 in increasing order.\nAnswer: -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 13*g**2 - 7*g - 5*g**3 + 3*g**3 + 3*g**3 - 13. Let a be j(-10). What are the prime factors of a\/(-14)*2\/(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**5\/20 - 34*o**2. Let f(x) = -1 + 244*x + 1 - 44*x**2 - 244*x. What is f(u(r))?\nAnswer: -396*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-2) - (-906)\/12. What is the tens digit of n\/2 - 21\/(-14)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 5:19 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30139385?\nAnswer: 5, 17, 354581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {v: 2, c: 1, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(98) - sqrt(98)*-1)*6 + (sqrt(98) + 0 + sqrt(98) + sqrt(98) - sqrt(98)) + -1 + -4 + -6*-2*(-1 + sqrt(98)) + -2)**2.\nAnswer: -6552*sqrt(2) + 66572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 12:39 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-438)\/((-8)\/4)*-1. Find the common denominator of -35\/3 and (0 + f\/(-9))\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -3 + (-6 - -4). Let z be ((-15)\/(-7) + c)\/((-6)\/28). Solve 5*u - 19 = -z*y, 2*u + 0*u = 4*y + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -37?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or 8791?\nAnswer: 8791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 4*a**2 - 10*a - 7. Let n be m(-5). Suppose 0 = 3*w - 527 + 149. Calculate the greatest common divisor of w and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2 + 10 = 2*d, -2*d = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.243685*0.5.\nAnswer: 0.1218425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1056 + -1056.129. Round t to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 715*r - 186*r + 2283*r + 3126*r**2 wrt r?\nAnswer: 6252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2640 + -1433. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 + 884\/7. What is the closest to 0.1 in 0.1, k, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(7\/(7\/2)). Suppose a = -g + 3*g + 18. Is (-2315)\/g + 4\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-257*v - 146*v**2 + 257*v + 0*v**2 + v**2 - 2*v**2 + (-2*v + v + 3*v)*(0*v + 3*v - 2*v) - v**2 - 4*v**2 + 3*v**2)*(5*v**3 - v**3 - 2*v**3).\nAnswer: -294*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {s: 1, b: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 18872?\nAnswer: 18872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3122201333 (base 4) to base 6.\nAnswer: -31103555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 + 1171\/17. Suppose -28*n + 4 = -32*n. Which is the closest to -2\/3? (a) w (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 3*q = 24. Calculate the smallest common multiple of 14 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 2. Let y(g) = g**2 - 1. Let c(v) = 2*y(v) + z(v). Let r(h) be the third derivative of h**4\/12 - 4*h**2 - 3*h. Calculate c(r(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 825612 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**3 - p**2 - 4. Let h(c) = -5*c**3 - c**2 - c - 5. Let s(a) = 3*h(a) - 4*l(a). Suppose k - 4*k - 6 = 0. Let o be (0 - k) + 1 + -1. Give s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 11*k - 10. Let f be m(-9). Suppose u - 2*u + 119 = 4*z, 0 = 4*z - f. Is 27 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 751\/7 - 768\/7. What is the nearest to -1 in 0.5, -2, c, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19.388, -2\/19, -2, -5, 4 in ascending order.\nAnswer: -19.388, -5, -2, -2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ac4 (base 14) to base 12.\nAnswer: -10424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002093724984 rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from dedeeee?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kttp when four letters picked without replacement from {z: 4, p: 2, o: 1, j: 1, t: 3, k: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -122*h + 4264. Calculate y(35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 7*h**3 + (-3*h + 4*h - 3*h)*(-h**2 - 4*h + 4*h) - 2*h**3 + 0*h**3 + 13*h**3 to the form b*h**3 + k*h + t + l*h**2 and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 12*c**4 + 4*c + 0*c**4 - 4*c**4 + c**2 to l*c + a*c**2 + s*c**3 + z + x*c**4 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.242974km?\nAnswer: 9242974000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 45*d + 510. Calculate the lowest common multiple of k(-24) and 1508.\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (131\/(-131))\/(-1*(-2)\/(11*2))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*l)*(460*l - 862*l - 585*l - 778*l) as j + q*l + u*l**2 and give u.\nAnswer: -3530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*f**4*k - f**4*n + 90*f**3*k*n - 6*f**2*k*n - f**2*k - f**2*n + f*k - 10*f*n + 942*k wrt f?\nAnswer: 1656*f*k - 24*f*n + 540*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3390361 a multiple of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 30*m - 142. Let g be i(6). Let c be 1*(0 + (-22)\/(-2)). Factor c*w + 7*w - 11 + 6*w**g + 26 - 3*w**2.\nAnswer: 3*(w + 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 22112?\nAnswer: -22211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 305.6 + -353.6. What is the second biggest value in z, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 0. Let v = 67 + -1. What is the tens digit of (-6)\/(-4)*v\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1978.6 to the nearest 10.\nAnswer: -1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/13 - 236936*s**2\/13 + 7011643592*s\/13 + 337105014144\/13.\nAnswer: 2*(s - 59258)**2*(s + 48)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23318481 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279416082 by 3691.\nAnswer: 75702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134101 (base 5) to base 10.\nAnswer: -5526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122161225.\nAnswer: 5, 47, 103967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 238*w**3 + w**2 + 9*w - 11. Calculate the remainder when f(1) is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 23. Solve k*p = 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7323.\nAnswer: 3, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-20041\nAnswer: -10020.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 2*j. Let u(p) = 2*p**2. Calculate u(s(v)).\nAnswer: 8*v**4 + 16*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 3*s - s)*(-57 + 24 - 36) to the form w + t*s and give t.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -319 + 323. Solve m*o + 0*o - 4 = -2*x, -5*x + 22 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -7. Let r(i) = 2*i + i**2 - 1 + i + 3 + 0*i**2. Calculate the least common multiple of r(g) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*m - y - 9 = -319*m + 641*m, -31 = -3*m - y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - v + 3, 0 = 5*h - 10*h - v - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 3*b**2 + 2*b - 2. Let y be z(3). Let t(q) = -82*q - 2. Let w be t(y). What is w rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 1028 = q - 1048, 3*q = -t + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62479 - 62445. Let s(n) = -n**2 + n + 18. Let u be s(0). Suppose -u = -y + 16. Calculate the greatest common factor of k and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 691 divide 468374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 3889363\nAnswer: 194468.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*-1*(55\/20 + -4). Solve -3*z - 6 = -b*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r + 4*g - 26, -2*r + 72 = 3*g. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*g - 711*g + 19564*g + 18475*g = -5138352 for g.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/7 - 666312*u\/7 + 27748230084\/7.\nAnswer: 4*(u - 83289)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 177 - 263. Let v = i - -79. Sort v, -0.5, 0.1, 0.5 in decreasing order.\nAnswer: 0.5, 0.1, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pupupuxpgpdu. What is prob of picking 1 g, 2 p, and 1 d?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 49. Solve n + f*h = 0, -4*n = 5*h - 2*h - 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2. Let q(b) be the second derivative of -301*b**4\/12 - 81*b + 2. Calculate o(q(w)).\nAnswer: -90601*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46512 or 45929?\nAnswer: 46512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173903 is divided by 328?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 16*z - 67. What is c(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.04, -5, 0.08, -2\/5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**3 + 12*w**2 + 17*w + 13. Let f(j) = -5*j**3 - 11*j**2 - 17*j - 14. Let g(a) = 5*f(a) + 6*u(a). Give g(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/34*4\/1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {x: 4, m: 2, l: 6}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 - 91 = -5*k - 5*p, 32*p - 14*p + 104 = -5*k + 7*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -5a9?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 + 6772*p\/7 + 752330\/7.\nAnswer: 2*(p + 115)*(p + 3271)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqqz when four letters picked without replacement from {f: 6, q: 2, z: 1, g: 7, r: 2}.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (-6 - -4) - -4. Suppose -d*y + 3*y = 0. Solve y = -2*l + 4*g - 30, 2*l = -3*l - 5*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 1\/10, 2, -0.5, -126.9 in decreasing order.\nAnswer: 2, 1\/10, -0.5, -2, -4, -126.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -747741588 divided by 66?\nAnswer: -11329418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 4. Let d be i(-9). Suppose 0 = -b + 4*a - d*a + 18, 3*b = -5*a + 62. What is the remainder when 55 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-2)*390\/75. Let u be (-37)\/(17316\/384) + 2\/c. What is the nearest to -2 in 6, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6993857707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 8117575*p**2 - 8117580*p.\nAnswer: 5*p*(p - 1623516)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v + 2. Let z be x(-8). Suppose z + 33 = 5*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 220.770778 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1127983 is divided by 884?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 17. Give l(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 86856.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -58 - 12. Suppose 0 = 8*s - g*s - 110110. Is (-1)\/(-3) - (s\/15)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o - 9. Let f(i) = -5*i + 5. Let j(m) = 5*f(m) + 2*s(m). List the prime factors of j(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*w**2 - 190932 + 381860 - 190928 - w.\nAnswer: -150*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -2. Let r(h) be the second derivative of -3*h**5\/20 - h**4\/12 + 2*h**3\/3 + 3*h**2\/2 + 14*h. What are the prime factors of r(o)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42902073*n - 21047592?\nAnswer: -42902073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -9. Suppose 5*j + 0*n = -3*n + 29, -2*n - k = 0. Suppose 2*d - j = -4*p + 9, -2*p - 4*d + 8 = 0. Solve u + p = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 427 + -33. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31933 and 145.8.\nAnswer: 32078.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 43. Let n(i) = -i - 21. Calculate 2*m(t) - 5*n(t).\nAnswer: -t + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**3 + 4*d**2 + 1. Let z(t) = -11*t**3 + 11*t**2 + 3. Let r(i) = -i - 8. Let m be r(9). Give m*u(b) + 6*z(b).\nAnswer: 2*b**3 - 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (117\/15)\/(6\/(-7)*(-161)\/(-460))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*k + 66, 39 - 183 = 3*b + 3*k. Let v = -1 - b. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**4\/24 - 17*o**2. Give i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 2*b - 3. Let r be q(5). Suppose -v = v - r. Suppose v*m - 396 = 2*m. Calculate the highest common divisor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (229*d - 3*d - d + (-5*d + 2*d + d)*(-3 + 4 - 3) - 4*d + 0*d + 2*d - 4*d + 0*d + 2*d)*(d**2 - d**2 + 2*d**2).\nAnswer: 450*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252613505.\nAnswer: 3, 5, 11, 13, 583969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -354.79 - -353. Let d = 8.11 - r. Let i = d - 10. Round i to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 155 (b) -0.4 (c) 0.2 (d) -1\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42723507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -54. Let d(h) be the second derivative of 1\/30*h**6 + 0 - j*h + 2\/3*h**3 + 0*h**2 + 0*h**4 + 0*h**5. Find the second derivative of d(q) wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2222220 (base 4) to base 10\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 40745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 135689458423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/10*2 - (-1004999988)\/30. What is j rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 12, 3, -0.08, 1 in ascending order.\nAnswer: -0.1, -0.08, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 45.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -222, -1, 94400 in increasing order.\nAnswer: -222, -1, 94400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -816 - -30190\/37. What is the closest to j in 0.5, -1\/6, 1, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/69)\/((-20)\/(-170))?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100316*k + 50151*k - 9*k**3 + 50148*k.\nAnswer: -9*k**3 - 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2487979129 to the nearest one hundred thousand.\nAnswer: 2488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keuumkmiukekkuuiukuk. Give prob of picking 1 u and 2 e.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + -4 + 1*sqrt(704)*-4 + 5) + -1.\nAnswer: -7 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*s*t**3 - 1237*s*t**2 - s*t - 2250854*s wrt t?\nAnswer: 33*s*t**2 - 2474*s*t - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23574.\nAnswer: 2, 3, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8*n**(2\/19)\/n)**(-6)*(n*n**(7\/2)*n*n*n**6)**25 assuming n is positive.\nAnswer: n**(10255\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 22 = 4*l, -2*l - 68 + 52 = 5*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**6\/90 - 4*w**5\/15 + 22*w**4\/9 - 32*w**3\/3 + 24*w**2 + 137*w. Factor k(d).\nAnswer: (d - 6)**2*(d - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 5. Let u be g(19). Which is bigger: u or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -340.66\nAnswer: 340.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*d + d. Let r be (7 - (1 + d))*-1. Let q(s) = s**2 + 11*s + 14. Calculate the least common multiple of 16 and q(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, z: 1, t: 1, y: 1, e: 1, w: 2}. What is prob of sequence ye?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123 - -125. Suppose u = 3*f - 1, -2*f - h*f = -3*u - 3. Factor -2\/5*y**5 + 0 - 2\/5*y**3 + 0*y - 4\/5*y**4 + f*y**2.\nAnswer: -2*y**3*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-11 - (-12 + 1 - 11)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 8) in base 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 9. Let k be v(-12). Solve k*n + 3 = -12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 141147 = 1653*q + 1814*q + 62993 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away 1.656534258?\nAnswer: 12.343465742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -2*a - 3*u, 6853*a - 5*u - 72 = 6851*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79543 divided by 168?\nAnswer: 79543\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -133, 316, 735, 1124, 1483?\n\"Answer: -15*d**2 + 494*d - 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -2*u**2 - 1\/6*u**3 + 8\/5*u**5 + 0*u**4 + 0*u + 0. Let z be l(1). Calculate the greatest common factor of 19 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o - 113*o = -71*o + 1242 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11682.96 months?\nAnswer: 973.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10811 + 2044 = 1544*b - 4381 - 30628 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 - 103634107?\nAnswer: -103634057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 203 - 210. Let j be ((14\/4)\/t)\/((-4)\/72). Let a(m) = -6*m**3 + m**2 + 2*m - 4. Let b(v) = -13*v**3 + 2*v**2 + 4*v - 9. Give j*a(n) - 4*b(n).\nAnswer: -2*n**3 + n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 1. Suppose 3*c = 13 - 4. Let k(l) = -4*l + 16. Let o be k(3). Suppose c*t + o*w - 4 = 0, -3*t + 16 = -t - 4*w. Calculate n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727504 is divided by 856.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/x**(-2)*(x*x**(-8)\/x)\/x*x\/(x\/(x\/(x*(x**(2\/5)\/x)\/x*x)))*x**(-5\/4)*((x*x*x*x**(-8))\/x**(-15))**32 assuming x is positive.\nAnswer: x**(6287\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 638709073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttttt. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40\/(-12) - -4)*3. Is 1416\/15 - a\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/5 + 598*a**2\/5 = 0. What is a?\nAnswer: 0, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -5. Let d = n + -2.97. Let j = d - 0.03000095. What is j rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -10*f**3 + 11*f**2 - 8*f - 6. Calculate g(4).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -659\/86 - 1\/258. Let d = q + 8. Which is the third smallest value? (a) -4 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 245*v**2 + 47*v - 298. What are the prime factors of w(11)?\nAnswer: 2, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 100 and 10\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -4, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 5. Let a(r) = r**3 - 6*r**2 + 5*r + 1. Let p be a(5). Sort -2, x, p in decreasing order.\nAnswer: p, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2987 + 564541\/189. Let t = v + -124\/189. Let c = 6 - 9. What is the nearest to -1 in 2\/5, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76*(-10)\/((-320)\/16) - 17\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 9 = -3*t, -3*t + 5*h + 4 + 29 = 0. Let v(q) = -q + 7. Let u be v(t). Sort u, -2, -5 in decreasing order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -45*h**3 + 2991*h**2 - 247002*h - 82662. Let c(b) = 51*b**3 - 2992*b**2 + 247001*b + 82661. Let j(s) = -6*c(s) - 7*k(s). Let j(v) = 0. Calculate v.\nAnswer: -1\/3, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*w**2 - 6*w - 159*w**2 + 58*w**2)*(-2*w**2 + 2*w**2 - 3*w**2 + 2*w).\nAnswer: 213*w**4 - 124*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, u: 1, p: 2, n: 1}. What is prob of sequence ubbn?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g. Let r(u) be the second derivative of -u**4\/12 - 2*u. Calculate k(r(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*g - 4. What is the second biggest value in 2\/5, -3, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2126*w = -2057*w - 345 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18960345, 18960338, 18960327, 18960312, 18960293?\n\"Answer: -2*b**2 - b + 18960348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 570 + -561. What is the nearest to n in 1\/3, -3, -2\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 69*i = -176110000. What is i rounded to the nearest one hundred thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h**3 + 17*h**2 + 14*h - 29. Let i(d) = -2*d**3 - 6*d**2 - 5*d + 10. What is -17*i(o) - 6*v(o)?\nAnswer: -2*o**3 + o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-45 - -33 - (-10 + 2) - (-2 + 7))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*s + 2, 30*s + 22 = 2*z + 33*s. Let x(q) = -q**3 + 3*q**2 - 1. Let w be x(2). Solve z*j + 22 = -4*b, 4*b = -4*j + w*j - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d93 - -2d?\nAnswer: 3dc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 88516 not equal to -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.11 (b) 0.04 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Suppose -2*d - 5*l - 13 = 0, -4*d + d + 4*l - 8 = t. What are the prime factors of (-6)\/24 - 37\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 373*u - 2984. Determine w(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-210))\/((-7)\/35).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -994*i**2 - 1042*i**2 - 1233*i**2 to the form x*i**2 + q*i + u and give x.\nAnswer: -3269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 11 = -2*p - k, 4*k + 8 = -4*p. Suppose -b - p*a - 9 = 0, -4*b = -2*a - 30 + 10. Calculate the greatest common divisor of 24 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24383422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**7\/2520 - q**6\/720 + q**5\/30 - q**2. Let g(r) be the third derivative of h(r). Let u = -7 - -10. Give g(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/5 - 2451*k\/5 - 4914\/5.\nAnswer: 3*(k - 819)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5300932 and 5656?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 + 76. Let k(j) = 2*j**2 + 2*j. Calculate k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (628\/7 - (-14300)\/(-3850))*2\/(-4)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6109.011km in micrometers?\nAnswer: 6109011000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/30 - (-6)\/(-2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 7 (b) -4 (c) 189 (d) -9 (e) 9\/7 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23011032123 (base 4) in base 9?\nAnswer: -5416803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 3*i**2 + i - 4. Let l be r(5). Suppose 4*k + 3 - l = 0. Solve 3*h = -h + 12, -k = -3*t - 3*h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14094349 is divided by 96?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6245, 6205, 6163, 6119, 6073?\n\"Answer: -g**2 - 37*g + 6283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(504) - (sqrt(336) - (2*sqrt(336) + sqrt(336)) - sqrt(336))\/sqrt(6))\/((1*sqrt(968) + sqrt(968))*1 - sqrt(968)))**2.\nAnswer: 63\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827487 is divided by 3491.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 1. Let g(v) = v**2 - 10*v - 1. What is g(f) - 3*i(f)?\nAnswer: f**2 - 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -4, 5024\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -55*x - 2063. What is the remainder when 126 is divided by d(-38)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/2 (b) 4 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(1 + 28\/(-16)). What is the remainder when 21 is divided by (t - 2) + 1*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzzlblb. What is prob of picking 2 l?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 7*o + 11. Let j be w(8). Suppose 131 = j*r - 25. Suppose -5*l - 3*x = -0*l - r, -2*x = l - 16. Solve -l = -4*t - 0*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1.7 (b) 2 (c) -459163\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2211 and 1.63.\nAnswer: -2209.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*c**2*h**4 - 25*c**2*h**3 - 2*c**2*h**2*z + 2*c**2*h**2 - 43*c*z**2 - h**3*z**2 wrt h.\nAnswer: 480*c**2*h - 150*c**2 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497 = y + 4*j, 5*y = -j - 303 + 2693. List the prime factors of y.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39369463 + -38.\nAnswer: -39369501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**3 + 164135*p - 5*p**3 - 164127*p + 3*p**2 to z*p + i + k*p**3 + l*p**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o**2 + 5. Let i be p(0). Suppose -4*w + 8*s = 3*s - 49, -i = s. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 18 = -23. Let c be (-2)\/4 - (-15)\/2. Suppose -t + o = c. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + (6 - 10))*(0 + (-11)\/33). Suppose 10\/3*c - 1\/3*c**2 + r = 0. Calculate c.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 7*c + 1. Suppose -l = 4*l - 5*r - 295, r = -3*l + 173. Suppose h = -h + l. Suppose -o - h = -5*n, -2*n - 4*o + 4 - 10 = 0. Determine g(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-25))\/(5\/125). Let c(y) = y**2 - 7*y - 9. Give c(m).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from jnjivnj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 - (9\/12*4 + -2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 661 + -97516.\nAnswer: -96855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/4480 and 43\/960.\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwkw when four letters picked without replacement from {w: 3, k: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + 1248?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w - 4*y, 6*y - 2*y + 52 = 5*w. Suppose -w = 2*g - 5*g. Let h(p) = -2*p + 6. Let t(j) = 2*j - 5. Let x(d) = 3*h(d) + 4*t(d). Give x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4 - 5 + r - 2*r**2 + 2 + 22*r**2. What is the remainder when a(-1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.8 - 8.68. Let x = -0.12000105 + y. What is x rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.164905 rounded to 2 dps?\nAnswer: -2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8 - -0.2. Let q = d + -2.4. What is the nearest to 0.2 in 4, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19845 by 189.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 12*p**2 - 17*p - 20. Let j be b(10). Suppose -4*k + 3*k + j = 0. Let s(a) = -5*a + 55. Let m be s(k). Put -5, -10, m, 1 in increasing order.\nAnswer: -10, -5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-9 + (-30 - -39 - (-9 + -4)) + 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-8))\/(2\/12))\/((-90630)\/(-2280)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 8 = 4*j, -21 = 3*n - 9. Suppose 0*z + j*z - 4*u + 1 = 0, 3*u = 4*z + 6. Let g be (-45)\/(-10)*(-4)\/6. Are g and z unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 5*p - 4. Let v(d) = 2*d**2 - 6*d - 5. Let g(k) = 2*v(k) - 3*y(k). Let o be g(-2). What is the nearest to o in 2\/5, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 20 = 5*a - 32, 3*a = 5*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -261\/463 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -659, -5500, -18635, -44210, -86371, -149264?\n\"Answer: -691*z**3 - z**2 - z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*42.29198\nAnswer: -16.916792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z + z)*(3 - 9 - 3 + (1 + 0 - 2)*(1 - 2 + 0) + 0 - 1 + 0)*(3*z + 8*z + 7*z).\nAnswer: -162*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2433 - 2429. Sort -4, 762, x, -3, -5 in descending order.\nAnswer: 762, x, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khllklkkllk. What is prob of sequence lhl?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*o - 159*o + 15890 = 0 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-6) + 1\/(-3). Suppose 4 + 1 = 5*u. Solve u - 2 = v*g + h, 4*g = -4*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 58*n + 81. Let g be (-1530)\/(-54) - (-1)\/(-3). Let m be d(g). Let a = 6 - 4. Solve -4*t = -2*x + 12 - 2, 0 = -a*x - 3*t - m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:36 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414707.\nAnswer: 414707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**15)\/(((b*b**(3\/13))\/b)\/b)*b**(-1\/3)\/((b*b**4*b)\/b) assuming b is positive.\nAnswer: b**(446\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/34)*l*l)**20*l**(-2)\/((l*l**14\/l)\/l) assuming l is positive.\nAnswer: l**(735\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46232 - -90285. What is the ten thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 139024, 138967, 138910, 138853?\n\"Answer: -57*u + 139081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x**2 + 0*x + 0*x.\nAnswer: -29*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**2 - 3018 + 3018 - 30*s**2 + 15*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*q - 952 = -56*q + 1316 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 16. Solve -26 = x*b - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8865 is divided by 181?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 3*d + 1. Let c be f(3). Suppose -w - 29 = o - 3*w, -3*w = o + 4. Let y = o + 28. Solve 5 = 2*p + t, y = p + 3*t - c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 4, -77, -1\/3, -1, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 6:39 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -2, -5, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 718.4873l to millilitres.\nAnswer: 718487.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.2341 millennia in decades?\nAnswer: 64623.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 3*w - 1 - 17, -12 = 4*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1003 = 584*g - 3633 - 7628 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45761097 and 2217.\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/13098 and 97\/12.\nAnswer: 26196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1591 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 12. Let j(t) = -t**3 - 20*t**2 - 32*t + 63. Let d be j(-18). Give y(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**3 - 2*x**3 - 1 + 8*x - 59*x + 71*x to the form j + q*x + y*x**3 + l*x**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010000 - 1001?\nAnswer: -101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixteenth of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1028996618 to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**4 - 3*t**4 + 7*t**4 + (2 - 2 - 2*t**3)*(3*t + 2*t - t) in the form l + b*t**2 + g*t + i*t**3 + m*t**4 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 3*y - y)*(0*y + 3*y - y)*(2 + 1 - 2).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -2*s - 5*n, -64*s + 65*s - 3*n - 77 = 0. Calculate the smallest common multiple of 1310 and s.\nAnswer: 10480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1293*j + 4213*j - 2918*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -841, -639, -437, -235?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**5 - 203518*q**4 + 5166340478*q**3 + 565246610838*q**2 + 7774950821040*q - 460353629572200 = 0.\nAnswer: -65, 21, 50934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 - 12 + 1 - 4*u**3. Let i(b) = b**3 + 2. Suppose -5*q = -2*q + 63. Let x be q\/2 + (-2)\/4. Calculate x*i(s) - 2*d(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 425.22 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 86 = -5*o + 206, -4*i - 65 = -3*o. Solve -3*j = 27*t - o*t + 7, -t + 2 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6)*(-2 + 6 + -2). Let i = 56 - 276\/5. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.38 in 3\/7, -122, -4, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37900397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2. Let m be ((-30)\/(-5))\/(9\/150). Let k(t) = -208*t + m*t + 109*t + 23. Determine k(s(h)).\nAnswer: -2*h**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 2:13 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -466\/7 - -24684\/371. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**2\/6 + 48026*o\/3 + 1153248338\/3 = 0.\nAnswer: -48026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/51 or 2?\nAnswer: 47\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 391, 1325, 3143, 6139, 10607?\nAnswer: 16841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*2\/((-16)\/(-60)). Let h = -13 + a. Let o(q) = 3*q**2 - q - 2. Determine o(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3*t*v - 112*a**3*t - 2*a**3*v - 13*t*v wrt v.\nAnswer: -a**3*t - 2*a**3 - 13*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a + 121 = 260 + 290 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(((n*n**(-4))\/n*n)\/n*n)\/n*n)\/((n*n\/((n\/(n*n**(-6)*n*n))\/n*n))\/n))\/(n*n**(-1\/4))**(-2\/39) assuming n is positive.\nAnswer: n**(27\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38121 is divided by 18788?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1291 - 1291 - 90*g)*(45*g - 1208 + 1208)*(-5*g**2 + 0*g**2 + 4*g**2).\nAnswer: 4050*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**6\/120 - k**5\/20 + 3*k**2\/2 + 3*k. Let i(a) be the first derivative of l(a). What is i(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.13. Let z = 4.87 - j. Which is the second biggest value? (a) 2\/5 (b) -1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(26\/(-12) + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10762 is divided by 10255?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -35*z + 39. Suppose -2*k - 5 = -k, z*x + k = 15615. What is x rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66535*q**3*w**2 + 3*q**3*w + 70*q**2*w + 16*w - 13 wrt w?\nAnswer: -133070*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7.1, -258, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.635 - -70.965. What is b rounded to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5.2. Let p = -32 - -67.2. Let j = p + -35. What is the third biggest value in j, 5, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*x**3 - 83*x**3 + 669*x**3 - 206*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*w + 10, -w - 27 = 4*q - 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 12. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190 and 1835740.\nAnswer: 34879060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 375, 427, 519, 657, 847, 1095, 1407?\n\"Answer: s**3 + 14*s**2 + 3*s + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/4 + 1159*s\/4 = 0. What is s?\nAnswer: -1159, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 1674008?\nAnswer: 8370040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-40))\/((-28)\/7560*20))\/(3\/(-2)).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -140\/41 (b) 0.11 (c) -3.8 (d) 1 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*v = -2*v - 3120, -2*j + 5*v = 1560. Let r be ((-2)\/3)\/(8\/j). Let q = r - 27. What is the highest common divisor of 190 and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 0*i**2 - 19*i - 2\/5*i**6 + 0*i**4 + 0*i**5 + 0 + 11\/6*i**3. Find the second derivative of s(k) wrt k.\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6363.3618 - -6364. What is q rounded to two dps?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**4\/24 + 4*l**3\/3 + 9*l**2. Let b be w(10). Do b and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -826 divided by 59?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -19621624 divided by -4?\nAnswer: 4905406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(18) + 1) + ((sqrt(72) + -1)*2 - sqrt(72)))**2.\nAnswer: 30*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2424240?\nAnswer: 2, 3, 5, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41496 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-30)*20\/(-16)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1326 <= -1326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -31*b**2 - 13*b - 12. What is u(-1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 6. Let t be j(-3). Suppose -2*p - 3*p - 15 = t, 60 = 3*q - 4*p. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 632 = 17*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*n - 3*n = 25, 0 = 5*n. Suppose 0*s = -h*s + 20. What is the highest common divisor of s and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/2? (a) 1\/7 (b) -1 (c) 878\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*i - 14*i - 14*i - 25*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 15*p + 1. Let f be n(-14). Suppose 23 = -f*d + 53. Solve 12*s + d = 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 325952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 10. Let z be q(7). Let s = -31 - -30.73. Let m = s - -0.27. Which is the nearest to -2? (a) 2\/15 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 16*o + 13*o - 9 + 4. What is s(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208688836739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*r**3 + 11*r - 31*r**2 - 9*r - 165*r**3.\nAnswer: 2*r**3 - 31*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 + 305*y**3 + 20*y**2 - 1220*y.\nAnswer: -5*y*(y - 61)*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5\/7, -0.3, -1\/3 in descending order.\nAnswer: -0.3, -1\/3, -5\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 102090 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024164 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8464 + 552*d - 12*d**2 + 2\/23*d**3.\nAnswer: 2*(d - 46)**3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30852 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6066*r - 150759 = 156999 + 122928 for r.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 1, o: 1, n: 5, t: 4, p: 1}. Give prob of picking 2 t.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**2 + 0*w + 0*w)*(-1 + 4*w**2 + 1) + 0*w**4 - 3*w**4 - 2*w**4 as x*w**3 + l*w + i*w**4 + h*w**2 + d and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 254*m + 252.\nAnswer: 2*(m + 1)*(m + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 0*m + 1648 - m + 1331 - 192 in the form g*m + u and give u.\nAnswer: 2787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1801.\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1305 and 223010.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v - 7*v + 0*v**3 - v**3.\nAnswer: -v**3 - 28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(12)\/(1*sqrt(12)\/sqrt(3)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-7813)\/390 - (-21 - -1)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**(-3\/11)*y**(8\/7)*(y*y\/((y\/(y\/(y**(2\/9)*y)))\/y))**28 assuming y is positive.\nAnswer: y**(36863\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.92 + -18.94655. Let a = -29.026 - -29. Let h = a - u. What is h rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28750725 and 100?\nAnswer: 115002900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235680 divided by 14730.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1724292881112731\/91554580461750 + -38\/2491281101. Let j = i - 1\/6125. Find the common denominator of j and -40\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, w: 1, r: 2}. Give prob of sequence rrjw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2 - 9*r + 4. Let s(v) = 14*v**2 - 26*v + 13. Let z(t) = -8*k(t) + 3*s(t). What is the units digit of z(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -11. Let p be (1 - o)\/(-7 + 5). Let b(g) = g**3 - g + 6. Let j be b(p). Solve -3*a + j = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 + -6 - (-4 + -5 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 941201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from kjkjkkk?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**12*y*y**32)\/(y**17*y**(-3\/19)))**38 assuming y is positive.\nAnswer: y**1070","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j = -15*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u = -15*u - 2160. What is the units digit of (-1)\/4 - (u\/(-36))\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-216716)\/63740)\/(2\/(-50))\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -184*(-118)\/1357.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 761892 and 14?\nAnswer: 5333244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26920256 to the power of 1\/2, to the nearest integer?\nAnswer: 5188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203 - 196. Let f(a) = a**2 - 5*a - 8. Let t be f(i). Solve t*u - 9 = -3*p + 3*u, -3*p - 4*u = -9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**6\/120 + d**4\/24 - d**3\/3 + d**2. Let x(n) = 2*n - 6. Let g be x(4). Calculate z(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v + 2*b - 3896, 0 = 2*v - 3*b - 3906. Round v to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20216 = 30*z + 8*z. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/6 + 1 - 19\/(-3). Let f be (z\/(-4))\/(7\/(-14)). Solve 4*k + 7*d - 3*d = -28, -9 = -3*k + f*d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 95*h**2\/3 - 62*h.\nAnswer: -h*(h + 2)*(h + 93)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -217*k**2 - k**4 + 71*k**2 - k**4 - 13596*k**6 + 13764*k**6 wrt k.\nAnswer: 20160*k**3 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/12 and 133\/73356.\nAnswer: 73356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6421*a - 1862*a - 2958*a - 2769*a to the form y + w*a and give w.\nAnswer: -14010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*q - 162*q = -60 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -2\/7, -461, 2, 0.054?\nAnswer: -461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -33, -60, -77, -72, -33, 52, 195?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Suppose 5*f - 20 = 2*l, l = f - z*l - 4. Let g be (-10)\/(-8) + 2\/(-8). Solve -f - g = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -11. Suppose -3*g = q*r - 0*r - 30, 0 = -3*g + 15. Let w(p) = -1 + 4*p**2 + 3 - p**r + 0*p + 2*p - 4*p. Give w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3477987733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 0, 6*q + 6 = 3*h - 11*q + 7*q - 3*q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 738\/(-60) + (-28)\/(-10)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 30 = 5*l. Suppose -l*y + y = 5*h - 8, 0 = 3*h. Suppose y*w - 12 = -0, 5*v = w + 52. Solve -4*g - 5 = c, 0 = -4*g - 5*c - v - 14 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 18*u + 20. What is b(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgiippiiiiiri. Give prob of picking 1 p and 2 r.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2. Let k(t) = t**2 - 4*t - 5. Suppose 17 + 0 = 5*q + 2*d, 4*q - 4*d = 36. Let l be k(q). Suppose 4*r + l*r = -4, 4*x = 5*r + 9. Calculate z(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 217612916 - 217612916.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1499251200 and 6000.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**2 - 93404496*t - 545274992063376 = 0.\nAnswer: -11675562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3968 + -11.\nAnswer: -3979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -2) + -34 - -6?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1086, -1082, -1076, -1068, -1058, -1046?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/3405, 0.3, -0.1 in increasing order.\nAnswer: -0.1, 1\/3405, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 28. Suppose 47 = -3*w + 23. Let z be u(w). Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 648 and 2826.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 - 15224010*j**3 - 11588539248005*j**2 - 23177032824000*j - 11588508800000.\nAnswer: -5*(j + 1)**2*(j + 1522400)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 2*a + 4*f, 321*a - 318*a + 2*f - 8*f + 78 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 998291371.\nAnswer: -998291376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -71*o**2 + 4*o - 2. Let h(v) = v**2 - 2*v + 2. Calculate 2*h(l) + r(l).\nAnswer: -69*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -5, 1\/4, 2, 0.2 in ascending order.\nAnswer: -5, -1\/5, 0.2, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -22*k - 5*k**2 + 3*k**2 + 0*k**2 + 61*k. Let p(z) = 2*z**2. What is p(t(y))?\nAnswer: 8*y**4 - 312*y**3 + 3042*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 times 0.08?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (1 - -7) + (5 - 2) + -1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*q + 47*q + 4386 = 0 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8572 times 0.05\nAnswer: 428.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 1.141?\nAnswer: 0.3423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -5*v**7\/42 - 13*v**6\/5 + 7799*v**3\/6 - 2983*v. Find the second derivative of a(z) wrt z.\nAnswer: -100*z**3 - 936*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59952356 - 1578.995?\nAnswer: -59953934.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**5 - 395*n**4 + 5495*n**3 + 955*n**2 - 75160*n - 103700 = 0 for n.\nAnswer: -2, 5, 17, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 1, f: 6, e: 2, v: 2, z: 7}. Give prob of sequence wvz.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -5, -42, 1, 3, -1.\nAnswer: -42, -41, -5, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)\/d*d*d\/(d*((d**12*d)\/d)\/d) assuming d is positive.\nAnswer: d**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32294 rounded to 3 dps?\nAnswer: 0.323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (457570\/(-411813))\/(2\/72*-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*g**3*p + 1624476*g**3 + 3*g**2*p + 173*g**2 + 9*g*p + 2828*p wrt p?\nAnswer: 12*g**3 + 3*g**2 + 9*g + 2828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - -1057224?\nAnswer: 1057242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7 + 12 + 0*d**3 + 5*d**3. List the prime factors of u(3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56993a (base 11) to base 16.\nAnswer: -dd3e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1132233 - 10210?\nAnswer: 1122023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 5:04 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58295019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 32081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-24)\/(-16)*(2 + 2)*24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbchpnppnccw. Give prob of picking 1 n and 1 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = r - 15. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*f**2 + 52*f**2 + 154*f**2 + 18*f**2 to w + p*f + q*f**2 and give q.\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 3*f**2 - 3*f - 2. Let v be (4\/10)\/(2\/30). Let z be -2*v\/4*-1. Suppose 9 + 1 = -5*g + y, g - z*y = 12. Give c(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m. Let x(t) = -27*t**2 + 5*t. Let u(s) = 242*s**2 - 44*s. Let l be ((-2)\/(-4)*-3)\/((-18)\/60). Let g(b) = l*u(b) + 44*x(b). Determine g(j(d)).\nAnswer: 88*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217272.\nAnswer: 2, 3, 11, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81353 - -81043.944. Let s = c - -309. Round s to three dps.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)*k*k**(-9)\/k)**(-38)\/((k**(-2\/11)\/k*k)**27)**36 assuming k is positive.\nAnswer: k**(40778\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 101.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -4. Let x = -19 - h. Let r = 28 + x. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 + -102.26. Round b to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -66111?\nAnswer: -66109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8000 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -0.1, -5, 7, -4, 165, 4 in descending order.\nAnswer: 165, 18, 7, 4, -0.1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -w + 2, -2*q + 3*q + 3 = 0. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5524312938\/19355 + -3316\/3871. Let k = 284333 - x. Let l = -1097 - k. Find the common denominator of l and 73\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffoooroe. Give prob of sequence erof.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67019.\nAnswer: 29, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/8970502 and -129\/20607910.\nAnswer: 762492670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*w - 140. Does 35 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125.000286 + -125. Round t to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(39)\/(2*sqrt(12))*-5)**2*2.\nAnswer: -325\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32363a3 + 65?\nAnswer: -323633a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Let m = -1 + f. Let l be -1*(5 + (-32)\/6 - 1\/(-1)). Which is the closest to l? (a) 1\/5 (b) m (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3638345 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -7)\/((-2)\/14). Let f = 18 + a. Suppose 2 = -l - 0*o - o, -4*l - 3*o = f. Solve 0*v - l*v = 4*t - 2, -4*v = -2*t - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 124?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 + 12*j**3 - 11*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbbbbobxooo. What is prob of sequence xo?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 e when four letters picked without replacement from {g: 7, e: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (-11)\/((-11)\/(-12)). Suppose 5*b - 2 = s, -5*s + b - 3*b = -17. Suppose s*z - 7 = i. Solve 0 = -a + 3*v + 14, 0*a - 28 = 3*a + z*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60978373 and 22.\nAnswer: 1341524206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10393, 10323, 10245, 10153, 10041?\n\"Answer: -c**3 + 2*c**2 - 69*c + 10461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 2. Let q(f) = 2*f + 3. Give 8*c(o) - 5*q(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -72*a. Let s(o) = 56*o + 31*o - 43*o + 10*o. Calculate s(q(c)).\nAnswer: -3888*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -36. Let g(c) = 36*c**2 + 6*c - 27. Let r(o) = -5*o**2 - o + 4. Let a(n) = f*r(n) + 2*g(n). Determine h, given that a(h) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -161 less than or equal to -162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 10*m - 6495. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 12:37 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(c - c - c)*(1 + 26 + 4).\nAnswer: 93*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448249?\nAnswer: 448249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 1 + 0 - -4. Suppose q*c + 0*c = 0. Solve 0 = -3*o - 3*n + 3, 0*o + o + 5*n - 17 = c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 26. Determine h(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 3*l - 4. Let m be r(4). Suppose -2*b + 6 + 10 = 0. Calculate the greatest common factor of b and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**3 + 2*f**2 - 6*f + 1. Let r(m) = -6*m**3 - 4*m**2 + 11*m - 3. What is 6*r(q) + 11*y(q)?\nAnswer: -3*q**3 - 2*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-43)\/(-387) - 38\/18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/3 + 8*g**3\/3 + g**2\/3 - 8*g\/3 = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 15*v**3 + v**2. Suppose -3*j = -0*j - 42. Let y(c) = -c**2 + 16*c - 21. Let s be y(j). Suppose f - 6 = s*f. Determine l(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -1\/16*x**4 + 0 - 15\/8*x**2 + 132*x + 3\/4*x**3. Factor b(h).\nAnswer: -3*(h - 5)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 85*j - 422. Calculate the remainder when p(11) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111110001 (base 2) to base 8.\nAnswer: -1761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 = 9*f + 1979. Let n = 350 + f. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -22*p + 1326. Let l be 5\/p*124\/155. What is the closest to -1 in 0.6, -1\/3, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 10*m - 1. Let s(c) = c**3 - c**2 - 11*c - 1. Let g(u) = -6*h(u) + 5*s(u). Let t be g(-6). Solve -2*j + t + 3 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-6)*921\/9. Suppose 4*g + 331 = -3*b, -3*g - s = 3*b - 5*g. Let y = b + 185. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 44. Let x = i + -4. Sort x, 0, 1 in decreasing order.\nAnswer: x, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-12673)\/76)\/(-29))\/(-2)*(-64)\/8\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*u + 8, 5*p + 0*u - 24 = 2*u. Suppose x = 5*o + 98, -4*x + p*o + 308 = 5*o. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 + -19 - (-1 + -2)) + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Let c be a(1). Let u(i) = 12*i**2 - 2*i. What is the remainder when u(c) is divided by 4*4 + (-1)\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17719.173 months?\nAnswer: 147.659775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*w - 3*w. Let g(s) = -8 + 4 + 2 - 6 + 10*s + s**2. Let f be g(w). Sort f, -0.2, 1 in decreasing order.\nAnswer: f, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2800 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*f + 5*j - 72, -j = -3. Suppose 16 = 6*a - 4*a. Let d = f - a. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l, -z + 5*z - 5*l = 12. Suppose 4*x - 3*v - z = 1, 8 = 2*v. Solve 0 = s + x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - p - 34 = 0, 5*o + 25 = 2*o - p. Let j be -4*3*o\/(-12). Let h be 3\/2*(-12)\/j. Solve h*w = -w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s - v + 14, -3*v + 8 = -2*s. Suppose 0*n = -2*n + s. Suppose -l = -12 - n. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 2*d + 16 = 0, 159*m + d = 164*m - 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/140*182\/52.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 32 + 13 = 5*w, 2*d - 52 = 3*w. Suppose 31*t = d*t + 46. What is the greatest common factor of t and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - 26349.\nAnswer: -26391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/((-4)\/(-24)). Let i be h\/1*1 + 1. Suppose 2 + 7 = i*b. Solve b*m = -3*p - 25 - 2, 3*m = 3*p + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-2*sqrt(24)\/sqrt(6)) - (sqrt(60)\/(sqrt(36)\/sqrt(3)) - (sqrt(5) + sqrt(5) + -1)*4)**2.\nAnswer: -261 + 111*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.0229.\nAnswer: 0.0687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Suppose -1 = -4*i + 7. Solve -13 = -p*k - o, -k + 10 = 4*k - i*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -8. Let a be (-18 + -1 + 207)\/(8\/2). What is the second derivative of 9*y - a*y**h + 95*y**3 - 61*y**3 wrt y?\nAnswer: -78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 8:15 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 + -104. Let y(h) = 2*h**3 + 23*h**2 - 11. Is y(r) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, s: 4, e: 1}. Give prob of picking 3 s and 1 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3962 (base 16) in base 7?\nAnswer: -60554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 4*c + 205. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/14 - 748\/(-238). Let m = 0 + 0. Let h be (-5)\/(-3)*(-8)\/(-10). Which is the biggest value? (a) h (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 3. Let v(c) be the second derivative of 0*c**4 + 11\/30*c**d - c + 0*c**2 + 0 + 0*c**5 - c**3. What is the second derivative of v(a) wrt a?\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1368 * -2585.\nAnswer: -3536280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1128439*w. Let x(q) = -q + 106. Calculate x(y(j)).\nAnswer: -1128439*j + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1077956082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -495, -918, -1195, -1254, -1023, -430, 597?\n\"Answer: 12*v**3 + v**2 - 510*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 3*i - 8. Let j be w(-6). Let n = j - -11. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -42.9, -5, -10, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**3 - 5*y**3 + 11*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*23*70\/(-140)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*o + 9. Suppose 66 + 186 = o*t. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*z = -284 - 287 + 566, 11*o = -5*z + 27 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (833\/34 - 23) + 1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377286845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**0))\/r)**37 assuming r is positive.\nAnswer: r**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + q**2)*(-2*q**3 + q**3 + 3*q**3) - q**5 - 2*q**5 + 5*q**5)*(-7 - 4 - 1).\nAnswer: -48*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -8 - 38) + (-132 - -147).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -5*r**4\/6 - 7*r**3\/6 - 16*r + 7. Let y(g) = 4*g + 5*g**2 + 0 + 0. Let j be 15*1 - (7 + 23 - 22). Give j*y(s) + 4*v(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33908 and 53284.\nAnswer: 372988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 0*m + m + m. Let q(w) be the third derivative of w**4\/12 - w**2. Determine d(q(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 + 2*u + 1. Let s be h(-1). Let a(o) be the third derivative of o**5\/60 - o**4\/24 - o**3\/6 - o**2. Determine a(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(-2\/57)*g*g)\/g*g**(13\/3))\/((g*g*g**(1\/11))\/g*g*g**(-10)))**32 assuming g is positive.\nAnswer: g**(305120\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4618 (b) 1\/6 (c) -12010\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18872844*o - 31206768.\nAnswer: -18872844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1188) - 3*sqrt(1188)) + sqrt(1188) - sqrt(33))\/sqrt(3) + ((sqrt(99) - sqrt(99)*-3)\/sqrt(9)*-6)**2 + 5.\nAnswer: -7*sqrt(11) + 6341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 1. Calculate the remainder when (1\/2)\/((-1)\/(-24)) is divided by u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-8)*(-3 - 1). Let d = -132 - -57. Let v = d + 74. Which is greater: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:40 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -13 + 14 + 8\/2. Let o(z) = 4*z + 12. Let f(a) = -2*a - 6. What is i*f(w) + 3*o(w)?\nAnswer: 2*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from xalaxxxlaxxaaxaaxfaa?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2 + 2*d + 8. Let b be c(-4). Let u = b + 57. Calculate the greatest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644596 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j = 0. Is (-26)\/2*(-1 + j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -74*f**2 - 36*f + 37. Let p(k) = 45*k**2 + 17*k - 20. Let y(x) = -5*p(x) - 3*v(x). Give y(10).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/25 - 4\/(-10). Let j be (-14)\/(1\/y*-2). Calculate the remainder when 23 is divided by 86\/7 - 4\/j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*b + 6*b. Let u be (0 - -10)*2\/20*5. Calculate the highest common divisor of u and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2679 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4*-2.7162222\nAnswer: 10.8648888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 3*h - 2*h**3 + (-2 + 2*h + 2)*(-h**2 + 0 + 0) - h**2 + h**2 + h**3 + 25*h**3 + 28*h**2 - 28*h**2.\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1166 and 1320495?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2115212060?\nAnswer: 2, 5, 13, 449, 18119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 9621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 divided by 208?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q - 11 - 35 - 8. Suppose 5*b - 69 = 3*l + 100, 0 = 2*b + 5*l - 49. What is the remainder when s(-16) is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330490 (base 12) in base 6?\nAnswer: -25203100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/163791684 and 79\/5849703.\nAnswer: 163791684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 37*v**3\/3 - 2*v**2 + 3*v - 6. Suppose -2 = 5*t - 12. Let m be h(t). Calculate the greatest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 13*r**2 + 8*r - 9. Let g(w) be the first derivative of 4*w**3 + 7*w**2\/2 - 8*w - 665. What is 6*f(q) - 7*g(q)?\nAnswer: -6*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000011120 + 1020?\nAnswer: 2000012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13256.99994461 + 13257. What is i rounded to six dps?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 23 + 57 + -47. Let r(b) = b**3 - 29*b**2 - 170*b. Let i be r(m). Solve 6\/5*a**4 - 3\/5*a**5 - 6\/5*a**2 + i + 3\/5*a + 0*a**3 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -240 - -3598\/15. Let l(z) = -z**2 - 3*z + 5. Let d be l(-5). Which is the second biggest value? (a) i (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 180*x - 15. Let o(j) = 143*j - 12. Let r(v) = 5*o(v) - 4*w(v). Let t(d) = -22*d + 1. Determine t(r(i)).\nAnswer: 110*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -2 (c) 20.83 (d) 0.3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 25 = 5*a, 4*a + c = 5*a - 6. Let y(p) = -112*p - 7. Let l(z) = -760*z - 47. Let j(i) = -4*l(i) + 27*y(i). Determine j(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1230113 + 12?\nAnswer: -1230101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.4, 2\/15, 83, 5, -38, -1.57?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13707 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**5 - 108*b**4 - 780*b**3 - 676*b**2.\nAnswer: -4*b**2*(b + 1)*(b + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (17\/(-3) - 0) + (-6)\/(-9). Which is the second biggest value? (a) 1 (b) 5 (c) -2\/9 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 26, 36, 38, 26, -6, -64?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171 + -171. Suppose h = 51*b - 48*b - 4206. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -133*(-6)\/(-30) - 48\/120.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 52*a - 140. Let r(c) = 261*c - 705. Let b(u) = 4*r(u) - 22*z(u). Differentiate b(y) wrt y.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68990 is divided by 154?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46, 204, 554, 1192, 2214, 3716, 5794, 8544?\n\"Answer: 16*q**3 + 46*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 20, -4, -0.24, 2\/9, -7, 5 in decreasing order.\nAnswer: 20, 5, 2\/9, -0.24, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5\/5 - 69*v**4\/5 + 231*v**3 + 245*v**2 = 0. Calculate v.\nAnswer: -1, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4198*k**3 + 19*k**2 + 10*k. Let h be f(10). Round h to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7400*r - 9. Is n(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 2*h - 10. Let o be i(2). Suppose 0 = o*q + 29 - 21. What is the units digit of (-7)\/(21\/(-636)) - (0 - q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooxooooy. Give prob of sequence yx.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.55 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7*(-46)\/(-966)*5388\/((-6)\/(-3)). Is r <= 896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*k - 66, 91 = 2*b - k - 44. Calculate the greatest common divisor of b and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -57*h + 21. Let r(n) = -31*n + 11. Let o(f) = -11*r(f) + 6*s(f). Calculate o(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 99, 212, 325, 438, 551?\n\"Answer: 113*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - 4*sqrt(850))\/sqrt(2).\nAnswer: -19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 51*f - 44*f + 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59224137649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2050)\/375)\/(-41) + 108\/1215?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5313446 divided by 5114.\nAnswer: -1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 183812*r**2. Let k(i) = -187*i. Calculate k(m(v)).\nAnswer: -34372844*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i = 15. Suppose -10 = -i*x - 4. Does 1 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*r - 12, -4*l + 10 = 2*r. Let g = 8 - l. Suppose 3*x - g*f = -0*f, 0 = 2*x + 2*f - 8. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 - 4 + 2*d**4 + 3 + (2*d - 3*d - d)*(-d**3 - 2 + 2).\nAnswer: 4*d**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26282 + -30166. What is the second smallest value in 3, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 9:01 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*((-18)\/(-8))\/(-3). Let z = 24.6 - 24.1. Which is the closest to g? (a) -2\/13 (b) z (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/10 - ((2 - 4) + -1). Suppose -4*c - 261 + 1289 = 0. Suppose c = r*h - 13. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 2:45 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-28\/9))\/b*b\/b**(-6\/13) assuming b is positive.\nAnswer: b**(-193\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -601*n + 127. Let a be v(7). Round a to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -35, -25 in ascending order.\nAnswer: -35, -25, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**2 + 3*r**3 + 2*r**3 + 0*r**2 - 3 - 6*r**3. Let i be (-2)\/6 + 74\/6. Let j = i - 17. Determine y(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0549 - 0.6549. Which is the nearest to 0? (a) f (b) -0.2 (c) 0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 480 + 1077?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15041 from 377385.81.\nAnswer: 392426.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*-4*(-2*sqrt(1584))**2 - (1 + -5*sqrt(1584)*-4)).\nAnswer: 720*sqrt(11) + 228099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 183, 316, 445, 570?\n\"Answer: -2*u**2 + 139*u + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 0.050352?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43\/3 - 57\/4. Let a = 1 - 1. Put -2\/17, a, q in ascending order.\nAnswer: -2\/17, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -0.1 (b) 15 (c) 136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33481*r**3 - 2*r**2 - 3*r + 134691 with respect to r.\nAnswer: 100443*r**2 - 4*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 11*o**3 - 26*o**3.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19806701 to the nearest integer?\nAnswer: 4450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3238206456 to the power of 1\/3, to the nearest integer?\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/2640 and -101\/50?\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 - -146. Let k = 49 + -23. Suppose -5 + k = a. Calculate the remainder when p is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4 + 3136*y**3 + 28309*y**2 - 12544*y - 113220 = 0. What is y?\nAnswer: -9, -2, 2, 3145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/4*16\/8. What is the tens digit of 15*(3 + (-33)\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 73625160.\nAnswer: 1\/36812580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110424 and 501.\nAnswer: 18440808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -121?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**6\/40 + o**5\/30 + 797*o**4\/24 - 515*o**2. What is the second derivative of y(u) wrt u?\nAnswer: -18*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95a4 (base 14) in base 10?\nAnswer: -25820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129455699*o**3 + 643873*o - 197.\nAnswer: 776734194*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 6*w - 4. Let c be 5\/(-15) + 34\/(-6). Let l be b(c). Let x(s) = -s**2 - 5*s + 4. What are the prime factors of x(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44372343, -44372332, -44372317, -44372298, -44372275?\nAnswer: -44372248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -13938.333?\nAnswer: -13938.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -241 - -301. Suppose -5*z = -o - 10. Let i be 2 - (-1 + -1 - -3). Solve -z = 5*h + i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617748024.\nAnswer: 2, 3, 29, 887569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1872 = 8*d. What is the greatest common divisor of 351 and d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 330, 1063, 2496, 4863, 8398, 13335?\nAnswer: 19908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148938 and 309.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4677*p - 1093*p + 34362 = 45114 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 3*v**2 - 3. What is d(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4391.\nAnswer: 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3)*(-18)\/(-294). Let s = -59\/245 - n. Let p be (3\/(-6) + 1)*6. Which is the second biggest value? (a) p (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 3\/50?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136) + 1*(2*sqrt(136) - sqrt(136)) + sqrt(136)))\/(sqrt(800)*2 - sqrt(800)) - (sqrt(17)*3 + 3 + (sqrt(136)*-1)\/sqrt(8) + sqrt(17)).\nAnswer: -16*sqrt(17)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 6 = -2*n, -18 = 3*f - 3*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 47\/(987\/(-14))*15\/(-55)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/14 and -55\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-10))\/(12\/(-9))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.81.\nAnswer: -0.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*f + 34, -7*m + 40 = 5*f - 2*m. Let h = f + 5. Let l be (2\/(-6))\/(h\/(-96)). Solve -4*k = -l*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b - 11*b + 5*b + 4 + 2*b**3 - 4*b + 7*b**2. Let j(w) = -w**3 - 3*w**2 + 6*w - 2. Let o(n) = 7*j(n) + 3*k(n). Find f such that o(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -38*i - 72. Let g = -353 + 320. List the prime factors of s(g).\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.69 - 0.01. Let u = 0.2 + 0.1. Let v = u - y. Which is the closest to v? (a) 1\/4 (b) 5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**3 - 226*z**2 - 84*z + 247. Determine f(38).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 14*j + 25. What is r(-5)?\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -4)*(6 + -7). Suppose 16000 = -4*p - 4*n, -2880 = p - f*n + 1120. Round p to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-2\/11))**47 assuming n is positive.\nAnswer: n**(940\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a - -25?\nAnswer: 4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 565*l**3\/6 - 30*l**2 - l + 77. Find the first derivative of m(u) wrt u.\nAnswer: 565","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2796, -5519, -8240, -10959, -13676, -16391?\nAnswer: -19104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j - 1. Calculate r(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325670 is divided by 1072.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 46 (b) -0.3 (c) -2\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 35 - (-96)\/27) + 3\/9\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1716237311 to the nearest integer?\nAnswer: 41427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/10 + (-238)\/(-140)*6. Let i(p) = -p**2 + 11*p - 9. What is i(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.5*-1356335.4\nAnswer: -4747173.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -861*v - 12 = -856*v - 4*d, -5*v - 4*d = 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/s**(-3\/11))**(3\/19) assuming s is positive.\nAnswer: s**(-156\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 14.6. Let x = 1 - g. Let n = x + 0.6000024. What is n rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 489375 by 125.\nAnswer: 3915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + sqrt(2736) + sqrt(2736)*-3 + 5*sqrt(114)\/(sqrt(6)*2))*-1.\nAnswer: 6 + 43*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 bigger than -9190774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 - -2314565?\nAnswer: 2314607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*4\/(-10*(-132)\/450)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1949803396 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulpuw. What is prob of sequence ulp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**4\/12 + t**3\/6 + 20*t. What is the remainder when 33 is divided by i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaal when four letters picked without replacement from lasasalas.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 46 = -198. Let q = i - -2. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 5*k - 4*k + 60*k**2 + 14*k**4 - 12*k**2 + 1 - 50*k**2 - 14*k in the form u*k**2 + a*k + p + l*k**3 + t*k**4 and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8 or 0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588\/(-567)*(1 - (-234)\/36 - 15).\nAnswer: 70\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5) + sqrt(405) + sqrt(405) + 0 + sqrt(405) + sqrt(405) - sqrt(5) - sqrt(10)\/(sqrt(32) - sqrt(2) - sqrt(2) - sqrt(2)))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5735884.\nAnswer: 2, 7, 11, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 18, 1\/9, -24?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 880, 1765, 2652, 3541, 4432?\nAnswer: 5325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1232*o**3 - 22*o**2 + 22. Let t(q) = q**3 - q**2 + 1. What is 2*a(h) - 44*t(h)?\nAnswer: 2420*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j = 2*h + 4, -5*h = -4*j + 9. Let l = 4\/27 + -205\/108. Let z = 3\/2 + l. Which is greater: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293, -778, -1603, -2774, -4297, -6178, -8423, -11038?\nAnswer: -14029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -345 + 886. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*a + 0 - 1316*a**2 + 1314*a**2 - 1)*(0*a - 2*a + a) to the form d*a**3 + k + i*a**2 + l*a and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5\/4, -3\/7, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -1273?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0\/u)**18)**(-7\/3) assuming u is positive.\nAnswer: u**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-20)*(0 + -2)*2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 11*c**2 + 16*c + 18. Let k be v(12). Let g = k + -56. Suppose -1 = g*i - 1. Solve -4*s = i, u - 3*s + 5*s = -5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/181? (a) 3 (b) -59771 (c) -2\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1705 and 99169.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -20, 2*y + 4*q = -2*y - 3384. Let w = -470 - y. What are the prime factors of w?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 237*r - 17. Let f(o) = -59*o + 4. Let p(s) = 2*a(s) + 9*f(s). Let x be p(-2). Suppose -4*k - 18516 + x = 0. Round k to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -392, 3, -4, 2 in decreasing order.\nAnswer: 3, 2, -4, -5, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 7, i: 3, y: 1, a: 1}. What is prob of picking 1 g and 1 e?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**5\/10 - 3*j**4\/4 + 27*j**2\/2 - 81*j\/2 + 152. Determine t, given that i(t) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3691 + 3697. Let u(i) = i - 5. Let j(p) = 2*p - p + 6 - 2*p. Let n(q) = b*u(q) + 5*j(q). Let k(h) = 34*h**2. Calculate k(n(c)).\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 228, 470, 874, 1440, 2168, 3058?\n\"Answer: 81*m**2 - m + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7088767 - -5?\nAnswer: 7088773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-2*c + 2*c - 5*c) + 0*c + 0*c + 2*c + (2 - 4 + 0)*(2*c + c - 6*c).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-5)\/10 - 2. Which is the closest to i? (a) 0.2 (b) -2\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 561385 - -1975715. What is p rounded to the nearest ten thousand?\nAnswer: 2540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 877 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 93227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1116464596+-1\nAnswer: -1116464597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1071)\/(-374))\/(-63)*11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**4\/8 + 5*c**3\/2 - 19*c**2. Let r be x(-5). Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**(1\/18)*(c*c**(1\/3))**(-11) assuming c is positive.\nAnswer: c**(-395\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -38*a - 320. Give h(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -c - 475. Suppose 61 = j - 4*j + 4*p, c = -5*j + 5*p. Let o = 91\/6 + j. Sort -0.3, o, -1 in descending order.\nAnswer: o, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 344 = -11*i. Suppose -42 + 3 = -3*y. Calculate the remainder when i is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.8 - -18. Let f = w - -2. Put 4, -4, f in descending order.\nAnswer: 4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Suppose -r*a - 3*l + 2*l + 10 = 0, 0 = -5*a - l + 28. What is the third derivative of 14*u**2 + 5*u**4 + a*u**4 - 15*u**4 wrt u?\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -817, -1577, -2343, -3121, -3917, -4737, -5587, -6473?\n\"Answer: -s**3 + 3*s**2 - 762*s - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19788417*w**4 + 6998094*w - 4 wrt w.\nAnswer: -237461004*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71.3 + 71. What is the nearest to -0.1 in t, -1, -14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*v - 1215 = 186, 4*v = -2*y + 904. List the prime factors of y.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.704 and -1637.\nAnswer: 6063.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 x when three letters picked without replacement from jjxxjjxxxjjjjajjjj.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -34*w + 760. Calculate the remainder when w is divided by 4\/3*18\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 445 (base 16) to base 4\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69507 (base 16) in base 5?\nAnswer: 102300432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 7*o**2 - 6*o + 1. Let x(s) = 3*s**3 + 1. Let m be x(1). Let g be (-55)\/10 + (-2)\/m. What is t(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/92359 or 0.05?\nAnswer: 26\/92359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7710365\/42 - -183569. Let j = 3\/14 - g. What is the common denominator of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2. Suppose -14 = -4*f + 2*m, f - m - 5 = -4. Let k(s) = f - 7 + 12*s + 0. Calculate k(b(v)).\nAnswer: -12*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/((-15)\/9))\/((-78)\/20). Solve 0 + 2\/13*q - 4\/13*q**2 + b*q**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/61 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 2)*(-1042*w - 15211 + 15211)*(0 - 1 + 2)*(4 - 4 + 2 + (-1 - 3 + 2)*(-1 - 3 + 3) + 3 + 0 - 5 + 5 - 4 - 2) to the form x + g*w and give g.\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0469 + 0.0253.\nAnswer: 0.0722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/67728 and -83\/21?\nAnswer: 474096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 270 and 126738.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 166*m + 1530. Calculate p(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5409*s**3 - s**2 - 135*s?\nAnswer: -32454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:38 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29501091, 29501090, 29501089, 29501088?\nAnswer: 29501087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -240 divided by 40\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74853.51 millilitres?\nAnswer: 74.85351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 19.9999. Round p to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.79 - 12499.\nAnswer: -12494.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-1)\/(-2) - -12. List the prime factors of 6\/(-4)*(-78)\/w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 44 = 184. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t - 10 = -29*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -274731 * -4\nAnswer: 1098924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -49. Let k = u + -40. Let l be (-2)\/k - 2\/4. Is -1 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 - -100. What is the second biggest value in h, -1\/8, -181, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 9 = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5534 and 245026151.\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, 4\/5, -3, 18 in increasing order.\nAnswer: -3, -2, -0.5, 4\/5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.7 + -9.7. Let f = -56.9999897 + i. What is f rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (8 + -10 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/(-6) + 5)*57\/2. Let g = l + 4119. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 m, and 1 w when three letters picked without replacement from wmwtwwhhwywwwmwmmhwh?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4933.031 - -4930. Let l = -0.021 - g. Round l to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 55 = -2*r, -434*p = -2*r - 431*p + 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + sqrt(1216)*2*-4.\nAnswer: -64*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -7\/424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2655 and 11295.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - -1)*18\/(28 + -37) - 0?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24*132\/(-18))\/(-2). List the prime factors of (-16608)\/(-11) + (0 - (-16)\/j).\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 657 = -6*s. Suppose 41 = -6*k + s. Suppose 0 = k*h - 4*h - 30. Calculate the highest common factor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 - r**4 + 3*r**4)*(3 + 6 - 3).\nAnswer: 30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 167.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -311, 5, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.6 - 0. Let b = z - -4.05. Round b to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = x - 3*x - 6*y - 13, -31 = 5*x + 14*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -91, 0.1, -2\/7 in decreasing order.\nAnswer: 3, 0.1, -2\/7, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 - -63. Let c(n) = 2*n - 2. What is c(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by (-4)\/(7 + 65\/45*-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 14 + 11*m**2 - 3*m**2 + 152.\nAnswer: 11*m**2 + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -4*d**5\/5 - 21*d**4\/4 - 2*d**3\/3 + 63*d**2\/2 - 36*d + 448. Determine j, given that s(j) = 0.\nAnswer: -4, -3, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 461769.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/2056 - -49349\/10280. What is the biggest value in -0.6, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**2 + 24*i**3 + 6*i**3 + 41*i**3 - 18*i + 346*i wrt i.\nAnswer: 426*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 u when four letters picked without replacement from luouloullol?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -441, -882, -1317, -1746, -2169, -2586, -2997?\nAnswer: -3402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/119 - -228\/595. Let k = 65\/836 - -1\/76. Which is the closest to -1? (a) k (b) 3\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 a factor of 100917284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-1220)\/3)\/(18\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 8 - 0. Let d(y) = 4*y**2 - 5*y - 1. Let g be d(3). Let q be -2 + (30\/g)\/(3\/4). Put x, -3, q, -2 in descending order.\nAnswer: x, q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(-74)*1*4*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 4. Let f be b(-6). Suppose -55 = -5*y - 65. Let x be 2 - (0 - (y - 0)). Solve 8 = -x*h + f*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 4330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1977 - 31563\/16. Let a = -41073\/16 + 2568. Calculate the common denominator of v and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (56\/(-10))\/(3159\/(-135) - (-34 - -11)). Let j(c) = c**2 - 2*c - 5. Let o be j(4). Suppose -o*b + 0*b + 3 = 0. Solve 3*q - a - b = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28\/85 - -15206\/45645. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h - 5*h + 1267*h**2 + 18*h.\nAnswer: 1267*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2407 - 2350. What is the remainder when q is divided by 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uke. Give prob of picking 1 e and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2300 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.965 + -15.83273. What is r rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -508, -6, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*w + 2. Let t be 27*((-2)\/2)\/(-1). Calculate the highest common divisor of w and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 5521882*c**2 + 3811394841798*c + 3811400363682.\nAnswer: 2*(c - 1380471)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193.9896 months to centuries.\nAnswer: 0.161658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 633, 31, -571, -1173, -1775?\n\"Answer: -602*a + 1235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -t + 2*d, -t + 5*d - 8*d = -33. Solve 6*z - 3*z = t for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 7804.\nAnswer: 20\/1951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3215830*v**3*z - 1969241*v**3 wrt z.\nAnswer: 3215830*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -1, 6, 1, 4, -5 in increasing order.\nAnswer: -36, -5, -1, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -11\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1 - 1 + 2*y**2 - 3*y**3. Let f = -2 + 0. Let r(s) = 9*s**3 + s**3 - 2*s**2 - 5*s**2. Calculate f*r(m) - 7*v(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q. Let u(z) be the third derivative of -z**4\/24 + 3*z**2. Give -2*h(k) + 5*u(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-78)*-9)\/((-8)\/(160\/15))\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(0 - 283462*h + 283171*h + 2).\nAnswer: -582*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 4*p**2 + p + 5. Suppose -22 - 2 = -8*w. Calculate the remainder when y(-5) is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0.253964.\nAnswer: -5.253964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m - m + 8*m**3 + 2 + 0 + 8*m to p*m**3 + r + k*m + s*m**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 8. Let z be k(4). Let j(a) = 4*a**2 + 9. What are the prime factors of j(z)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000262784 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (658 + 450 + 599)*(-2 - 1 + 2*w + 1).\nAnswer: 3414*w - 3414","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32, -70, -110, -152, -196, -242?\n\"Answer: -b**2 - 35*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + (-30)\/(-24). Let v(f) = 2340*f**2 - 2*f + 1. Let g be v(j). Let s = g + -9293\/4. Calculate the common denominator of -25\/22 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*u + 205 = -119 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/17 + 762*q**2\/17 - 2*q\/17 - 762\/17 = 0. Calculate q.\nAnswer: -381, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 31, 4570, 3 in descending order.\nAnswer: 4570, 31, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i + 4. Let p be b(2). Suppose -2*z = -p - 4. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*x - 25 + 1, 2*x + 3*g + 4 = 0. Sort x, 5, -2\/5, 0.3 in increasing order.\nAnswer: -2\/5, 0.3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 19*u**3 + 2*u**2 - 29*u + 3. List the prime factors of l(6).\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 - 2514*l + 17736. What is b(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311 = -74*p - 1613 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) 0.3 (c) -237\/16 (d) -22 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10066346*y - 3871572 wrt y.\nAnswer: 10066346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-21) + (-22)\/(-6). Suppose w - q*w + 8 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55205 and 2743055.\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -6, -2, -11080\/7?\nAnswer: -11080\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*o - 25*o + 60255. What is the remainder when o is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 373 - 372.9371. What is l rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 1, e: 1, p: 4, h: 9, z: 4}. What is prob of sequence epp?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + 44 = 32*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 454515, 454538, 454581, 454650, 454751, 454890?\n\"Answer: l**3 + 4*l**2 + 4*l + 454506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231\/(-4)*(-850)\/2975*2*1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -125. Suppose 3*x - v = -4*r, 8*r - 11*r - x = -44. Solve -6 = 3*c - 4*p + r, -4 = -p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9141 > -9140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 53*o**3 + 4*o**2 + 9*o - 3. Let s be k(-4). Round s to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 11. Let j be m(6). Let a(k) = 2*k + 11. Is a(j) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34985 divided by 5\nAnswer: -6997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 7*r**2 - r - 8. Let d(m) = m**3 - 8*m**2 + m + 9. Let q(w) = -2*d(w) - 3*v(w). Suppose 34*h - 4*h = 6*h + 120. Determine q(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3207419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11300.07 and -0.2?\nAnswer: 2260.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69289500 + -69289499.969100503. Let x = j - 0.0309. What is x rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**3 + 89 + 72*n - 69\/2*n**2. Factor i(t).\nAnswer: -3*(t - 1)*(t + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319968 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1088*c + 35802 = 54713 + 39841 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 7*u + 4*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 449, 581, 991, 1679, 2645, 3889?\nAnswer: 5411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156981?\nAnswer: 3, 11, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 286459278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12643 - -7339. Let w = 5303.7769 + f. Round w to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*8.051\nAnswer: 40.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 429 - 390. Let a = 79 - 10. Let v = a + -59. Calculate the remainder when s is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -177 - -161. Let i be (-1)\/2 + (-120)\/m. Solve -v - i = x - 5*x, -24 = -3*v - 3*x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*i - 1, -6*f - 17 = -5*i - 4*f. Let l(d) = -d + 8. Let g be l(i). Let x = g - 3. Solve 3*r + 0*n = 3*n + 24, 8 = -x*n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.71\nAnswer: 0.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 - -0.22. Let x = -0.3 + 0.1. Which is the closest to v? (a) x (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 + -146. Let g be 7 - 3\/(-6)*-6. Suppose -v*n - 330000 = 5*u, 0*n + 264000 = -g*u + n. What is u rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 - 5*i**2 - 7*i - 61. Let g(u) = u**3 - 2*u**2 - 3*u - 30. Let c(t) = 5*g(t) - 2*r(t). Differentiate c(l) wrt l.\nAnswer: -3*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 2*w + 5*w + 0*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*j + 8, -9 = a - 4. Suppose -j*v + 0 + 12 = 0. Solve 1 = 3*u - 2*c, 5*c + 1 = 2*u + v*c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -6, -0.4, -7\/9, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 7. Let q(x) = 45*x**2. Give q(f(l)).\nAnswer: 45*l**2 - 630*l + 2205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 7225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a kilometer in meters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 418300230 to the power of 1\/2, to the nearest integer?\nAnswer: 20452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 12002350*h - 24004720.\nAnswer: 5*(h - 2400472)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.058252763 rounded to two dps?\nAnswer: -8.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564344?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14377 smaller than 13940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, q: 11}. What is prob of picking 3 q?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 7*w - 1. Let b be h(7). Let g be (-8)\/(b - 1) + 3. What is the greatest common factor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12042 is divided by 317.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -584 - -583.99. Let y = 5 + -3. Which is the nearest to l? (a) 0.4 (b) y (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44.0000006 - -44. Round c to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 0*j + 4*s - 4, -2*j - 7 = -3*s. Suppose -7*w + 48 = -3*w. What is the greatest common factor of j and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2799 divide 2385684642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 2, -38, 26, 6028?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 6 = -2*i, 2*i - 170*t = -166*t + 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 198, 207, 218, 231, 246?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 954 and 2756?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45655\/21 + 2174. Which is the second smallest value? (a) v (b) 4\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 80 = -131*l + 262*l - 127*l, l - 4*a - 53 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -215900 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 2. Let c(x) = x + 1. Let d(h) = h**3 - 16*h**2 + 17*h - 36. Let o be d(15). Determine o*m(f) + 13*c(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 226982237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/11 - 1524*b**3\/11 - 26254*b**2 + 582168*b\/11 - 291848\/11.\nAnswer: -2*(b - 1)**2*(b + 382)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, p: 10, f: 6, v: 2}. What is prob of picking 1 u and 1 f?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2186, -3, 4, -4 in ascending order.\nAnswer: -4, -3, 4, 2186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1753\/488 + -2\/61. What is the common denominator of -56\/5 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/5)\/2*5. Let a be (6\/t)\/((-4)\/8). Does 0 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(3*a - 3*a + 2*a) + 0*a + 0*a + a + 24*a - 21*a - 17*a + (0 + 0 + 2*a)*(1 - 4 + 5) as m + k*a and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 72592715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*d**3 + 44492*d**2 - 13084339*d?\nAnswer: -198*d + 88984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-30)*w*w\/(w*w**(8\/7)*w)*w*w*(((((w**(-31\/3)\/w)\/w*w)\/w)\/w)\/w)\/w**(-12\/13) assuming w is positive.\nAnswer: w**(-11617\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/4769545 and -68\/1300785?\nAnswer: 14308635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*f + 3*q, 2*f - 4*q - 3051 = -2987. Let u(c) = -c + 18. Determine u(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4\/5, -25, -74, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 - 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*r - 126 - 47*r - 55*r + 170*r to g + y*r and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q + 0*q + (q + q - 4*q)*(2 - 3 + 3))*(-5 - 3 + 6).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.8203 + -604.1797. Which is the biggest value? (a) h (b) -0.2 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/114, 2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*o + 6 = 0, r - 4*o = 2*r - 24. Suppose -r*y + 2 = -3*y. Suppose -i = y*i - 2850000. Round i to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2 + 99\/18. What is the first derivative of -5 - 1 + 0 + 3*f**2 + a wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174 (base 8) to base 7\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/81 and -61\/27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4308.5 - 4308. Let x be ((-6)\/(-5))\/((-32)\/(-20)). Sort 0.61, 4, t, x.\nAnswer: t, 0.61, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316274 divided by 41.\nAnswer: 7714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -1\/3*v**3 + 25\/24*v**4 + 0*v + 0 + 3*v**2. What is the tens digit of a(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60\/(-24)*(0 - 2). Let k be -2 - 30\/(-14) - 0. Sort k, o, 3 in decreasing order.\nAnswer: o, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Suppose 0 = -3*z + 2*q + 17, i = 2*z - 4*q - 23 + 1. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -543376 divided by -271688\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-29)\/9 - 6\/(-2). Let r be (-3 + (1 - 0))\/(-7). Are b and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 109970 = 6*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 0.5, 2\/5, -23\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48111 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 3*h + 2. Give n(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:29 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/65*(-5)\/(-2). What is the closest to -2\/3 in 2, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12633, -50313, -113111, -201027, -314061, -452213?\nAnswer: -615483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -10935.\nAnswer: -10940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 9) to base 4\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 1 + 2*k - 3*k)*(-23*k - 13 + 13).\nAnswer: -46*k**2 + 23*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*m**3 + 455*m**3 - 212*m**3 - 3*m**3 + 4*m**3 + 0*m**3 + (0*m**2 - m**2 + 3*m**2)*(2*m + 2 - 2) to t*m**3 + x + z*m + p*m**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-896)\/(-112)*(-1)\/(-12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**3*s**2 - 18*a**3*s + 2788*a**2*s**2 + 550*a**2*s + a + s wrt s?\nAnswer: 10*a**3 + 5576*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*g + 61 = -145, 0 = 5*g + 5. Let s = b + -69. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 + 545115228*v - 74287652949372996 = 0 for v.\nAnswer: 272557614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 26*i**5 - 3*i**4 + 2*i**2 + 3*i - 24. Let q(u) = -u**5 + u**4 - u - 1. Let z(t) = c(t) + 3*q(t). What is the third derivative of z(n) wrt n?\nAnswer: 1380*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151036.\nAnswer: 2, 61, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3)\/s)\/s**4*(s*s*s\/s**(-5))**(-45) assuming s is positive.\nAnswer: s**(-1097\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -7) + -2 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2022300001 - -302?\nAnswer: -2022233033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -29\/2, 10 in increasing order.\nAnswer: -29\/2, -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/72*(-38)\/57)\/(27\/132)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14907 = -5*u - 5*y + 26733, u - 8338 = -6*y. Are 8327 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*((sqrt(648) - (sqrt(648) - sqrt(648)*4))\/(sqrt(120)\/sqrt(5) - sqrt(6)))**2 + 0.\nAnswer: -8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4*p - 9 = 6, m - 2*p + 5*p = 22 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11*b**2. Let u(y) be the first derivative of -7*y**2\/2 + 32. Determine u(x(n)).\nAnswer: 77*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5948*o**3 - 5947*o**3 + 11893*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4913*d**2 + 1 - 4847*d**2.\nAnswer: 66*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/960 and 11\/480.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35371630 is divided by 262012.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2803476208?\nAnswer: 2, 13, 13478251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**12*n)\/n)**(-16) assuming n is positive.\nAnswer: n**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5125698 minutes in days?\nAnswer: 0.00035595125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*4\/(-8))\/3*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39984 is divided by 9711.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 11:24 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*(-3*sqrt(77) - sqrt(77)))\/(sqrt(11) + (sqrt(11) + sqrt(275))*2 - sqrt(11)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -3. Let v = 7 - 5. Let t = m + v. Which is the smallest value? (a) -2 (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*w**2 + 8*w**2 + 65*w - 3*w wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*b, 2*l - 1 = -2*b + 5*b. Suppose 2*o = -o - b*s + 219, -4*s + 146 = 2*o. What are the prime factors of o?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-42) + (-30450)\/(-4410). Let r(v) = v**3 + 3*v**2 - 6*v - 5. Let d be r(-4). Let x(i) = 7 - 1 + 0*i**3 - i**d + 8*i**2 - 9*i. Calculate x(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -i, -2*p = i - 0*p + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -5, 3, -1\/4, 0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 6*l + 4. Suppose -8*x + 5*x + 21 = 0. Suppose -c + x*c = 0. Suppose c = -3*a - 11 - 10. Determine b(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 368 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1077, -1995, -2887, -3741, -4545?\nAnswer: -5287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 828 and 1162098?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*c - 3*c**5 + 6*c - 58 + 57 wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 820 - (-12 + 13)*8\/2. Suppose s = 15*t - 12*t. Calculate the remainder when t is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (1 + (-1 - 3)))\/1. Let n = -7 + 10. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201938200 divided by -568?\nAnswer: 355525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1811.\nAnswer: -4\/1811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 35 - 744 = -5*r, -3*r - f = -427. Let m = r - 72. Suppose 0*h + 10 = h. What is the highest common factor of h and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5))**18\/(f*f\/((f*f\/(f*f*f**2)*f)\/f)*f)**(-15))\/(((f**(1\/3)\/f)\/f*f*f*f**(2\/21)\/f)\/(f*((f\/f**(-2))\/f)\/f)**6) assuming f is positive.\nAnswer: f**(2813\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9238224, -9238210, -9238196, -9238182?\nAnswer: -9238168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*v + 1 + 44 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4487.577 minutes?\nAnswer: 269254.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -28806 at least -28806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -31. Let k = v - 15. Let b be (-1 - -2) + -5 - -1. Put -2, b, k in ascending order.\nAnswer: b, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45664781 or -45664777?\nAnswer: -45664777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 28 + 80. Let k(o) = o**3 - 12*o**2 - 13*o - 3. Let s be k(l). Let g be s\/9*-3*5. Solve m - 4*m = g*t + 23, 4*m + 8 = -t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -2*h**2 - 9*h - 1. What is the units digit of q(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*u + 309 - 95 + 5*u**2 + 46 + 30*u.\nAnswer: 5*(u + 4)*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 1. Let h be (-8 + 9)*(1 - c). Suppose -12 = -h*q - q. What is the highest common factor of q and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8\/5 (b) 0.1 (c) 2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrwrrvwvwr. Give prob of sequence vvr.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2 (b) 5 (c) -5 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - v - 2*v + 40*v**3.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/6793472 and -83\/3881984?\nAnswer: 27173888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 3. Let g = 356 + -355. Which is the third smallest value? (a) s (b) -1\/8 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -356154?\nAnswer: 356164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 240808599 to the power of 1\/2, to the nearest integer?\nAnswer: 15518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -3*d - 11*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 433 - 243. Let g = 188 - n. Which is the nearest to g? (a) 3\/4 (b) 5 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 984486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -42121?\nAnswer: 42121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = 17. Let o(g) = -1426*g + 3. Let i be o(a). Suppose 3*d - i = 11159. Round d to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 432\/42 + (-6 - 320\/(-56))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*m + l - 1061, 0 = -6*m + 3*l + 1665. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -778*c*m*n**2 - 37*c*m*n - c*m - c + 2*n wrt n?\nAnswer: -1556*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86710 and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 131691814 to the power of 1\/3, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 282942 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.334 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 242\/63 - 32\/9. Let x = -1.2 + -2.8. Which is the closest to 0? (a) g (b) x (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13358106?\nAnswer: 2, 3, 742117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 10*o. Let j(g) = 17*g**2 + 2. What is d(j(u))?\nAnswer: 170*u**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30376, -30377, -30378, -30379?\nAnswer: -30380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 70, 75, 80, 85, 90?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11945185727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -21\/10958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 16 + 44. Let u(x) = x**3 + 11*x**2 + 10*x + 8. What is the smallest common multiple of 11 and u(z)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(114)*-1)\/(sqrt(18)\/sqrt(3)*-6).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 3*r + 1. Let p be k(-2). Suppose 2*t - p*z + 5*z - 20 = 0, 12 = -4*z. Let x = t - 9. Are x and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341 + 661 - 146 + d.\nAnswer: d + 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -649 - -418. Let k = u + 236. What is the nearest to 2 in 0.4, 2.1, k?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1073, -1207, -1351, -1511, -1693, -1903?\n\"Answer: -f**3 + f**2 - 130*f - 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 5*x + 11. Let b be m(8). Let n = 13 + b. Let c be (-2 - n\/4) + 1. Is c bigger than 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1704 + -916. What are the prime factors of t?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5162 (base 7) to base 13\nAnswer: -a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**3 + 0*f**3 - f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-1 - 3))\/1. Let s = 13 - 1. Calculate the remainder when 210\/s - x\/(-4) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 7 = -0*l + 3*a, 5*a = l + 7. Let h be l\/2 - 2\/(-4). Let y = h + 23. Calculate the greatest common divisor of 40 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-8)\/24 + -3) + 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/1 - 546\/105. Suppose -3*t + 9 + 6 = 0. Suppose 0 = -4*c + 5*r + 13, 0*c = -c + 3*r + t. Are b and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 5858476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y**2 - 5*y + 10. Let a(d) = -d. Let c(p) = -3*a(p) + v(p). Does 12 divide c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 221963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 0)*(5 + 1 - 4)*(2 - 2 - 5)*(-30 + 35 + 55)*(-3*f - f + 5*f).\nAnswer: -600*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-236)\/5015)\/(265\/2915*(-11)\/(-5))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n - 2. Let s(u) = -22*u + 6. Suppose -b = -2*t - 11 - 24, -5*b = -2*t - 167. Suppose 2*v - 74 = 5*p, 5*p - 5*v = -b - 32. Give p*l(w) - 5*s(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -8\/6406829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -148*l - 3277. Give f(-22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53765 - 53759. Let v(o) be the third derivative of o**6\/120 - o**5\/30 - o**3\/2 - 2*o**2. Calculate the least common multiple of m and v(4).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*o + 9, -v - o + 7 + 2 = 0. Suppose v*l + 2*d = 1 + 5, 2*l + 3*d + 7 = 0. Solve 0*z - l*z = -2*c, -4*z = -c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:02 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + x - 5*x + 44 = -5*x, -4*x - 4 = -2*x for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s - 1291 + 4 = -119*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 13 + 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuutktkk. Give prob of picking 1 u, 1 k, and 1 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 94, 93, 90?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -22.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 35*t + 80. What is the remainder when 96 is divided by a(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (484\/(-489))\/(-2) + 8\/(-16). Let n = t + -38087\/10758. Find the common denominator of 51\/10 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 5, 2\/383, 3\/7 in ascending order.\nAnswer: 2\/383, 1\/3, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 684468741 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 bigger than 428563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/15 - (612\/60 + -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4321 (base 7) in base 16?\nAnswer: -5fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) -2\/11 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*q = 4, -u = -2*u + 4*q - 3. Let h = u + 4. Suppose 6*a - a = -h. Which is bigger: a or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 10. Let y(g) = -g**3 - 6*g**2 - 4*g + 5. Let j be y(-5). What is the least common multiple of 14\/r*(3 + j) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-14\/9)*x)\/x))**4 assuming x is positive.\nAnswer: x**(92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (-5 - (2 - 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1457\/8 - 182. Which is the closest to -0.06? (a) n (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5241551 + -2156552. Let v = -705001 - n. Round v to the nearest one hundred thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4629, 28, -8, -1 in increasing order.\nAnswer: -4629, -8, -2, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) 4\/3 (c) -4 (d) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 42390*w - 3857560.\nAnswer: -5*(w + 92)*(w + 8386)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j**2)**10*(j**4*j*j**0\/j*j)**(-25) assuming j is positive.\nAnswer: j**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-26)*92\/276\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45771?\nAnswer: 3, 11, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -13.041.\nAnswer: -15.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8606868309?\nAnswer: -8606868307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 35*m**4 - 12365*m**3 + 3390*m**2 + 49460*m - 14120 = 0.\nAnswer: -2, 2\/7, 2, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-9)\/(27\/(-66)). Suppose x = g + 6. Calculate the lowest common multiple of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.133 minus -42163.43?\nAnswer: 42163.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 + 92*q**3 + q - 2*q + 2 - 99*q**3 - q**2 in the form a*q + k*q**3 + u + r*q**2 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43482 is divided by 6151.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - w + w - 4*w. Let a(q) = 23*q. Determine y(a(t)).\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1993975 (base 11) to base 12\nAnswer: -115b315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j + 9 = -3*c + 35*j, -5*c + 3*j - 11 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-3))\/((-14)\/42)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k - 4*k + 2*k)*(-20 - 59 - 3) in the form q*k + c and give q.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205862975.\nAnswer: 5, 8234519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -277*d + 276*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -440, -673, -906, -1139?\nAnswer: -1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/30 of a minute?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 8*b + 11. What is o(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 61217594 - 30608797 - 30608797.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -115*y - 265. What is the hundreds digit of m(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9418518 divided by 66798?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -524 + 569. Calculate the greatest common factor of 285 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470784.6ng in tonnes?\nAnswer: 0.0000000004707846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-36)*-3*(-2)\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 6*l + 1. Let b be t(-5). Let p(k) = 32*k + 235. Let z be p(-6). Suppose q - b = z. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1343268 by 1343268.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 89171457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3159)*1)\/(sqrt(36)\/(sqrt(24)\/sqrt(2)))*2*-2)**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652 = 66*n - 586 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - m + 2. Let w be q(1). Suppose 10*o - w*o = -1700000. Round o to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 2. Let b(m) = 67*m - 11. Calculate -b(h) + 4*i(h).\nAnswer: -71*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -164.8 in -2, 3\/7, -0.01, 2\/11, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2. Let i be (1 + -1)*2\/4. Let h(n) = 12*n + 0 + i - n. Calculate h(d(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (29406 + -1)\/(-5). List the prime factors of ((-21)\/(-14) + z\/50)*5.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44922253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -165969 divided by 55323\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, x: 6, s: 1, n: 1}. What is prob of picking 2 x?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 119648311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5802192 and 117612.\nAnswer: 17406576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 21*y - 51. Let b be u(-23). Let z(s) = -s**3 - 6*s**2 - 3*s + 3. Give z(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 32 = -6*c. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + 2 + sqrt(128) - (sqrt(128) + -2*-2*sqrt(128))))**2 - (-1 + (sqrt(128) + -1 + 4 - (sqrt(128) + 1 - sqrt(128))*2))**2.\nAnswer: -16128*sqrt(2) + 75364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -61685, -123453, -185221?\n\"Answer: -61768*c + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 525 - 445. What is the remainder when 135 is divided by q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**5\/60 + 9*g**4 + 25*g**3\/2 + 5*g**2 - 56*g. Differentiate w(k) with respect to k.\nAnswer: -2*k + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3 + 15*v - 1 - 4*v**4 + 5*v**3 + 5*v**2 - 18*v - v**3 - 3*v**3 = 0. What is v?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.409 - -0.009. Let d = 2339.5936 - 2345. Let y = x - d. What is y rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 17*h**2 + 23*h - 16. Is z(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w + 6. Let d be i(-3). Let f be -3 - 5\/(5\/d). Let u be 12\/f - 20\/15. Is -1 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -66 (b) -5 (c) 0.23 (d) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3346392*v**3 - 3*v**2 + 154485800*v.\nAnswer: 20078352*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + h - 13. Let c(g) = 2*g**3 - g**2 + g + 1. Calculate the remainder when d(-9) is divided by c(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + f**2 - f - 41. Let c(b) = -2*b**3 + 3*b**2 - 2*b - 124. Give -3*c(m) + 8*y(m).\nAnswer: -2*m**3 - m**2 - 2*m + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 - -1.08. Let d = 7604\/21 - 362. Which is the nearest to i? (a) 3 (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/10)\/((-45)\/50 - -1). Solve o*m - m - 25 = -5*i, -5*i - 4*m = -25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 16 - (45 + -40) - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*g**5 + 141*g**4 - 153*g**3 + 63*g**2 - 6*g.\nAnswer: -3*g*(g - 1)**3*(15*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 3192.\nAnswer: -3\/1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p - 82. Let z(y) = 7*y + 83. Give -4*c(l) - 3*z(l).\nAnswer: -l + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000110 + 1?\nAnswer: -101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -59. Suppose -2*d = -g*b + 3 - 15, -2 = b. Solve -2 = d*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -25, 12, 63, 128?\n\"Answer: 7*n**2 + 2*n - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/6138 and 113\/525096?\nAnswer: 16277976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4 + 4. Suppose 0*f - f + 2 = s, -5*s = -f - 34. Suppose 34 = 5*i - s. Calculate the greatest common divisor of p and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x + 0*x - 4 + x + 3. Let t be j(-7). Let f = -10 - -34. What is the highest common divisor of f and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {i: 3, g: 4, v: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -133. Suppose 10*v + 4 = 6*v. What are the prime factors of (2 + v)*-3 + k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x + 13*x - 2*x - 5*x. Let b(w) = -13*w. Determine r(b(s)).\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 36\/90*(-2770)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 76*p + 70. Let h(i) = -25*i - 23. Suppose -19*a - 12 = -23*a. Let n(l) = a*v(l) + 8*h(l). Differentiate n(y) with respect to y.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 268 and 8100702?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i - 3. Suppose 0 = 2*y - 0 - 18. Let h be j(y). What is the remainder when (h\/4)\/((-45)\/480) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 15) to base 7\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((38 + -34)*(-10)\/(-8))\/(-1). Which is the third smallest value? (a) i (b) -2\/5 (c) 94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-5)*b*b)\/(b\/(b\/((b\/b**(3\/8))\/b)))*b**2\/((b*(b\/b**(3\/8))\/b)\/b*b) assuming b is positive.\nAnswer: b**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*c - 1. Let b be (c\/3)\/(2\/3). Let d(m) = -2*m + 0*m + m - b. Give d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 41, 5, -35, 421, -1, -2 in decreasing order.\nAnswer: 421, 41, 5, -1, -2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/6*(-76)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-1)\/(90\/(-27))*2\/(-12)*8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1136 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -229562*o - 60*o**5 + 8*o**5 - 2*o**4 - 1767*o**5 + 228629*o wrt o.\nAnswer: -36380*o**3 - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40759.7843 rounded to the nearest integer?\nAnswer: -40760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61386 < 61343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1432129 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6227174 years in months?\nAnswer: 7.4726088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*j = 4*p + 24, -11 = 3*p - 2*j. Let n(m) = -2*m + 16. Let h be n(p). Find the third derivative of -35*s**5 - h*s**2 - s**3 + s**3 + 8*s**5 wrt s.\nAnswer: -1620*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 at least as big as 197\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 836019170135.4199962 - 836020685581. Let h = k + 1515446. Let j = -0.42 + h. Round j to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(16)*-1)\/sqrt(8) + (1 + sqrt(242))*-6.\nAnswer: -67*sqrt(2) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2366478032?\nAnswer: 2, 8971, 16487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -71.\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10299.46646 rounded to zero dps?\nAnswer: -10299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgk when three letters picked without replacement from {b: 1, p: 1, g: 3, y: 1, k: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sjssssssssssj?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpk when three letters picked without replacement from nntknnnkkknkkknnnp?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4216 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*u*y**3 + 840*u*y**2 + 181*u - 2*y**2 - 41*y wrt y.\nAnswer: -252*u*y + 1680*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1014*k + 85*k - 28574 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -0.2, -2871, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18020 and 43860.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*z - 21 = -z, 3*p = 3*z + 3. Suppose -p*i = -21*i + 32. Suppose 3*g - 605 = -i*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -3456.\nAnswer: 11\/1728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-2)*s**(-1\/4)*(s**(2\/3))**(3\/26) assuming s is positive.\nAnswer: s**(147\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1708, 4365, 8914, 16303, 27480?\n\"Answer: 158*n**3 - 2*n**2 + 1557*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5275400 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.02631515 rounded to four decimal places?\nAnswer: 4.0263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(5\/3 - 2). Let o = -43.6205 - -1.6205. Is o <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g**3 - 8619 + 8619.\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 = 3*k. Solve -k + 24*h - 19*h - 29*h - 21*h**2 = 0 for h.\nAnswer: -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.792911656 - 22.793. What is b rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/6 - -1\/3. Let p = -65 - -391\/6. Sort p, r, -9 in decreasing order.\nAnswer: p, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 1)*(-102 + 102 + 8*t) + 109*t + 102*t - 166*t in the form z + d*t and give d.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -36. Let t = 35\/8 + -821\/184. What is the nearest to -0.2 in t, -2, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -541 + 546. Solve -1\/7*q**2 + 1\/7*q**4 + 0 - 2\/7*q + 3\/7*q**3 - 1\/7*q**n = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1333 + 3241?\nAnswer: 10124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*q + 311*q - 613*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 4*w + 16, q - 5*w + 36 = 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02186 to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -1321574?\nAnswer: -22\/660787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + -67. Let t be (-21)\/42 + 99\/j. Solve -p = -2*q + 4*p - 6, -4*q - 4*p = -t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 221\/26 - (-5643)\/(-198)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 46.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 greater than or equal to 2\/19337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - 77. Let v be 4402\/(-31)*i\/(-2). Suppose -4*k = s - 15, -3*s = -3*k + 2*k - v. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -307 + 87. Let c = -214 - f. What is the closest to c in -4, 0, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 - -63. Which is the closest to 1? (a) j (b) 4 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t - 6*t - t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 0)*(22 - 21). Suppose k + 11 - 28 = y. Let i = 26 - k. What is the remainder when 16 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 11, -4, 2\/3, -20\/13, 0.33 in descending order.\nAnswer: 11, 2\/3, 2\/5, 0.33, -20\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -15*l + 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4) + (-2 - 6\/48) + 461384\/4928?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1819.09042*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3220.852 and -3?\nAnswer: -9662.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 (base 12) in base 13?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 14, -1\/14, -0.61?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/102)\/(2\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12\/13 - 61\/52. Which is the nearest to p? (a) -1.3 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - 0 - (4 + 413\/(-98)) and (-38)\/(-8)*3 - 1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 751291, 1502559, 2253799, 3005011, 3756195, 4507351, 5258479?\nAnswer: 6009579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2925 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.880813 micrometers to millimeters.\nAnswer: 0.000880813","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**5 - 2*u**4 + 396874*u**3 + 138370*u**2 + 3.\nAnswer: -120*u**2 - 48*u + 2381244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 40932.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**3 - 2*p**2 + p. Let c be m(1). Let u(y) = y**2 + 4*y - 8. Let w be u(c). Solve 2 = -w*a - 14, 4*a = 3*l - 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(1\/(-1)))\/(-2)*(-11)\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 15 = -5*s, 2*s - 664*z + 665*z - 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 11*y**2 - 27*y + 4. Let d be k(-3). Solve -6*i - d = 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*t - 28 + 4, 4*t - 42 = 2*g. Find the common denominator of (-54003)\/(-10152) - (-2)\/t and (22\/(-114) - -1)\/(-1).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*o + 73 - 19, -2*o = -4*t + 48. Solve 0 = -t*x + 12*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111 - -110.6. Sort 10\/17, k, 3 in descending order.\nAnswer: 3, 10\/17, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1821*r + 410*r - 618 = 1613 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 414 (base 5) to base 4\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcqsscqsscc. What is prob of picking 1 s and 1 c?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5363 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -83)\/(1 - (3 + -4)). Let m = -6 + 11. Suppose 270 + 30 = m*v. What is the highest common divisor of k and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r**3 - 67*r**2 + 936*r + 2100. What is a(-15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 0*l**3 - 11*l - 1\/72*l**4 + 0 - 7\/720*l**6 + 2*l**2 + 1\/24*l**5. Factor q(t).\nAnswer: -t*(t - 2)*(7*t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 639 + -644 - (-1 - (2 - 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*r + 69, -2*r + 15 = 3*r. Suppose -19 = 2*z - p. Solve 0 = -3*v - 12, 0 = q - z*v - 12 - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**2 + 7*p**2 - 2*p**2 + (1 - p - 1)*(-65*p - 50*p + 28*p) in the form g + u*p + y*p**2 and give y.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 638355 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 22*q - 187 = -5*z, -179 = -3*q - z. Calculate the remainder when 226 is divided by q.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -2*b**3\/3 - 3*b**2\/2 - b + 133. Calculate i(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006547 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygyyymmgygytggyyt. What is prob of picking 2 m?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.6103025 or 0.1?\nAnswer: -6.6103025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6384 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.1 to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354895 is divided by 177433.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3976 + 3982. Let c(u) = 1790013*u - 12. Let t(l) = 895007*l - 6. Let p(m) = -6*c(m) + 11*t(m). Let d be p(y). What is d rounded to the nearest 100000?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**3\/4 - 15*v**2\/4 - 4*v + 105 = 0.\nAnswer: -5, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 5*c**4\/12 + 200*c**3\/3 + 4000*c**2 - 22*c - 3. Solve x(n) = 0 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqh. What is prob of sequence qh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 1211 + 2420 - 3*z - 1223.\nAnswer: -4*z - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**4 - 135390*f**3 - 16198800*f**2 - 647312000*f - 8626560000 = 0.\nAnswer: -26958, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 14*q + 112, 4*p - 33*q + 33 - 12 = -9*q + 56 + 157 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3560, 7952, 12344, 16736?\n\"Answer: 4392*u - 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3047 - -3319. Suppose 1848 - 492 = 4*c. Let w = c + m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-3 + 2\/1). Let f be 5214\/102 + 3 - (-2)\/(-17). Suppose f + 30 = 12*i. What is the highest common divisor of d and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16572?\nAnswer: 2, 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 2:31 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 45*w**2 + 44*w + 32. Let r be d(-44). Suppose -r*c + 13658 = 3098. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -70*f**3 + 12*f**2 + 30*f - 6. Let p be i(-4). Suppose 0 = 10*t - p - 1614. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 29*k**2 - 14*k + 34. Calculate the remainder when 42 is divided by r(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 12:17 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 10*q**2 + 2*q + 12. Suppose -60 = 4*h - 4*z, -4*h + 2*z - 17 = 33. Calculate l(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -14*j**3 - 39*j**2 + 373*j + 781. Give v(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 16*k**2 + 2*k + 35. What is s(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**31)\/(u\/(u*u*u**(-5)*u)) assuming u is positive.\nAnswer: u**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2436\/18 - 2\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6 + (-23)\/3 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005758783 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 73374 = 3*i + 14*l, 5*l = i - 24438. List the prime factors of i.\nAnswer: 17, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/40 and 52\/285.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 1\/2, -0.1, -0.0519, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:16 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -295\/11. What is the third biggest value in 0.3, m, 3\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55651 or -2\/7?\nAnswer: -55651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 + 2*x - 7. Suppose 0*c + 18 = -3*c - 4*t, 4*c - 3*t = 1. Let d be (3 + 2 + c)\/(-1). Let z(o) = o**2 - o + 3. Give d*h(y) - 7*z(y).\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 18. Let g be k(-8). Solve 0 = 2*t - g - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10081518?\nAnswer: 2, 3, 1680253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 25*h - 12. Let m be t(-17). Let b = m + 193. Solve b = -5*v - 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1831442.\nAnswer: 2, 89, 10289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17721, 18041, 18575, 19323, 20285?\nAnswer: 21461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2. Let s(r) = 11*r**3 + 4*r**2 - 7*r + 4. Let i be s(2). Let q(w) = -179*w + 98*w + i*w. Give q(y(x)).\nAnswer: -52*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2462*m - 80 = -2452*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + 9*g + 8. Let p be h(7). Let v = p + -120. What is the remainder when v is divided by ((-50)\/3)\/(1 - (-25)\/(-15))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 1. Let d be 3\/(3*p\/(-18)). Let k = -4 + d. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-2) + (-5)\/5. Suppose j = -4*g - 5. Let r be (-3)\/6*(g + -6). Solve 2*m - 5*x = -26, 4*x - 5*x = -r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a - 5*q - 91 = -56*a, -3*a - 21 = q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18711 is divided by 2293?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - -31 - 73 - (-7 - 27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 2*x**7\/105 + 7*x**6\/10 + 19*x**5\/5 + 55*x**4\/6 + 12*x**3 + 35*x**2 + 4*x. Factor w(j).\nAnswer: 4*(j + 1)**3*(j + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508268 = -8379*o - 158230 + 219734 for o.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/22 - (10\/(-12) + (-41003)\/(-43230)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfldffdlflffqllfllll. Give prob of picking 2 d.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 9:55 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 74, 140, 216, 302, 398, 504?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.528, 7.6, 1 in decreasing order.\nAnswer: 7.6, 1, -0.528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-18)*12\/(-20)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480 divided by -160.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16229 and -0.5?\nAnswer: -8114.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -284 + 287. Solve -2*i - i = 3*l, 5*l = h*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s**2 - 3*s**2 + s**2 - 339*s - 5*s**2 - 2*s**2 as l + u*s**2 + r*s and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**4 + 6*n**4 - 4*n**4 + (14*n**4 - 9*n**4 - 15*n**4 - 4 + n**4 + 4 + (0*n + n - 2*n)*(-2*n**3 + 0*n**3 + n**3))*(-6 + 0 - 1).\nAnswer: 52*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/5*(-23 + 5 + 74\/4 - 1).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007561 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a milligram in micrograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -3 + -5 - (4*sqrt(12) + sqrt(12))\/sqrt(6))**2.\nAnswer: 64*sqrt(2) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**2 - 1472461*p**3 - 56*p**4 + 1472461*p**3 + 19*p - 1 in the form v*p**4 + a*p**3 + d*p + q + n*p**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2536 and 30680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158 or 160?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -57210*x + 11956873. Give l(209).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24929 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27197604 * 0.5.\nAnswer: 13598802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*t - 3*m + 1293 = 0, 3*m + 4 = t + 2*m for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 1. Let h be ((-5)\/(-10))\/(2\/(-28)). What is x(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m + 2. Let w(u) = -10*u + 8. Let i(s) = 9*s - 7. Let n = 9 + -15. Let f(l) = n*w(l) - 7*i(l). Give -6*f(h) + 4*x(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2407 + 417.6407. Let x = -417 + g. Which is the second smallest value? (a) x (b) -0.04 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 27*p - 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*k + 3*x - 8 = 0, -k + 4*x = -11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -1) + (-480 - -503) + -14 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167689023 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/425)\/(-9)*(-6 + 135\/10)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j**3 + j**2 + j. Give i(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 - 21*q + 1 + 24*q + q**3 + 0*q**4 to the form u*q**2 + x*q + h*q**3 + r*q**4 + f and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4951152 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 161*b = -1147 - 959 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -7, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (963\/(-428) - 494\/8) + -12?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 425 + 584. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1204\/143 > 0.1798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4*c + 48476 + 350168, 5*x + 4*c - 498305 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4475, -4469, -4463?\n\"Answer: 6*q - 4481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**2 - 3*m - 2. Let y be -23*(-2)\/(-6)*5*-3. Suppose -y = -10*h + 5. Calculate the remainder when c(-3) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) - (-238)\/(-21). Let v be ((-10)\/c)\/(3\/9). Let g = 3 - v. Does -1 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*p + 63 + 58 = 61*p. Let b(o) = o**2 + 6*o + 2. Let g be b(-6). What is the highest common factor of g and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, m: 8, g: 5, v: 1, o: 2}. What is prob of sequence iivg?\nAnswer: 1\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/15 or 0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 608, 1217, 1826?\n\"Answer: 609*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (0 + (1 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*b + 3*b + 12, 4*y + 2*b = -8. Suppose 5*v = -2*t - 10 + 175, 2*v - t - 57 = y. What is the remainder when 122 is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 8*w**2 + 13*w + 10. Let u be r(7). Suppose -2*c + 20 = v, 2 = -3*v - c + u. Calculate the least common multiple of v and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27444643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -2*w**3\/3 - w**2\/2 + w + 2. Let g(l) = -33*l + 1 - 4*l + 36*l. What is -3*g(y) + 3*t(y)?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:22 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 64 + 8. Suppose -w - q = 5*g - 10*g, -4*g - 3*w = -22. Solve -3*t - g = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-100)\/6)\/(-6 - -2) + 169\/(-1014). Solve 0 = 4*w - c - 3, 8*w = m*w + 4*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254308 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u = 26*u + 4. Let j(s) = 2 + 7*s**2 + 5 - 5 + s**3. Let f be j(-7). Solve u*b + 2 = -f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*j - 38, 4*j + 5*c = 2*c + 54. Suppose -3*w - 216 = j. Let d = 109 + w. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16, 20134, 1 in descending order.\nAnswer: 20134, 16, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x + 2*x - 4*x + (-1018 + 245 - 247)*(8*x - x + x).\nAnswer: -8158*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -111*p - 476. Give d(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -407 (b) -1\/3 (c) -3 (d) -0.3 (e) 40 (f) -1 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5609 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1475*f**2 + 7 - 4 + 402*f**2.\nAnswer: -1073*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c + 10. Let j(s) = 666*s**2. What is j(n(k))?\nAnswer: 5994*k**2 - 39960*k + 66600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*b + 4\/3*b**2 + 0.\nAnswer: 4*b*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*f - 7, -3*h = h + 5*f + 9. Sort 1, -4, h in ascending order.\nAnswer: -4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*j - 10, -2*j + 2*f + 1 = 5. Let m be (-2)\/(0 + 2)*-2. Put -2, j, m in descending order.\nAnswer: m, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 36 = j. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5055*j + 1127295. Calculate c(-223).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 12. Let u be k(-6). Suppose -77 = u*i - 23. Suppose 2*y + 3*n + 29 = 0, -3*y + 2*n - 34 = y. Do i and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/606 and -119\/6.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -18, -20, -22, -24, -26?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*z**6 - 6*z**2 + 3*z + 8*z**2 - 3*z wrt z?\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 93*u**2. Let v(t) = t + 2. Let a(f) = 4*f + 27. Let k(m) = -3*m - 21. Let d(q) = -4*a(q) - 5*k(q). Let p(i) = 2*d(i) + 3*v(i). Determine p(x(y)).\nAnswer: 93*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*r = -834 - 1159, -r - 398 = -a. Does 60 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 6:51 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5149498337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33715.\nAnswer: 5, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 4:15 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**2 - 4. Let w be f(2). Suppose -129 = -4*c + 3*z, -z - 14 = -c + 17. Let x = w + c. Solve x*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 10, -3, 4, 1, -5 in descending order.\nAnswer: 10, 4, 1, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 247209 and 513?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6207\/2 - 3153. Let f = -2 + 4. Find the common denominator of (f\/(-48))\/(5\/(-550)) and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1542344 (base 7) to base 4.\nAnswer: -303302321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4042124 (base 6) to base 9\nAnswer: -322687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 2:22 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88803 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367727 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 13 = -7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64070 take away 3047355?\nAnswer: -2983285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 63*q. Let g(d) = 12*d**2. Give g(i(l)).\nAnswer: 47628*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -45, -893279, 5.\nAnswer: -893279, -45, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 7*o - 4. Let f be j(-8). Suppose -5*h + f*v + 54 = 0, -h - 4*v + 0*v + 6 = 0. Let s = h + -3. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 + 232*y\/11 - 230\/11.\nAnswer: -2*(y - 115)*(y - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 393 = -5*c - k, k = -2*c + 156. Let v(r) = -2*r**3 - 7*r**2 + 10*r - 9. Let g be v(-5). Let m = c + g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -13*l**2 + 6*l - 6. Let h(w) = -11*w**2 + 5*w - 5. Let p(j) = 6*h(j) - 5*u(j). Let z(t) be the second derivative of 2*t**3\/3 - t. What is z(p(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-1)\/(-2)*22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7192 = 8898*a - 9022*a for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 6*n + n**3 - 7 + 0*n**3 - 6*n**2. Let k be t(6). Let s = k + 9. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {c: 7, r: 3, d: 5, m: 1, n: 2, x: 2}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17516951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3 + (-48)\/(-15)). Suppose 0 = -0*a + f*a. Solve a + 0*y + 2\/3*y**3 - 2\/3*y**2 = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5\/3)*d)\/(d*d**29\/d*d))\/(d*(d**26*d)\/d*d*d*d**20) assuming d is positive.\nAnswer: d**(-239\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.4 > 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 + 4.23. Suppose -5*y = 3*r + 13 + 18, 2 = -r. Which is the second smallest value? (a) w (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 3. Let g(i) = 4*i + 228. What is g(k) + 3*j(k)?\nAnswer: k + 219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 2*p - 14, -3*p = -g - 6*p + 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 305 (base 6) to base 11\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 - -141. Suppose -i = -h - 16. What is the remainder when h is divided by ((-2)\/(-3))\/(6\/63)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1224252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 3*s - 9, -s - 241 = 4*n - 234 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/5*(-5)\/(-30)*45. Put 4.5, 0, w in decreasing order.\nAnswer: 4.5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -9.71. Let r = m + 0.342. Let l = -0.0519923 + r. What is l rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -2. What is the smallest common multiple of i and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5169 <= -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j**0\/j*j)\/j*j*j)*j*j*j**(1\/5)*j)**19\/((((j**0\/j)\/j)\/j)**(-4\/9)*((j\/j**(-2\/7))\/j*j*j)**(-22\/7)) assuming j is positive.\nAnswer: j**(35023\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + d**2 + 74*d + 12. What is the least common multiple of u(9) and 7?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166 + -171 + (10 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-2 - 56\/(-27)). Let q = -1378.5 + 1378. What is the third smallest value in 4, -1.9, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214 + 605576293.\nAnswer: 605576507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 1085865?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.5 (b) -0.1 (c) -44 (d) -1\/4 (e) -1 (f) -1\/7 (g) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*5*-2*sqrt(85)*-2)\/((2*-1*sqrt(45))\/(sqrt(54)\/(sqrt(18)\/sqrt(3)))))**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052777417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylylylwlllylll. Give prob of picking 1 y and 2 l.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1230221\/2, -4, -1\/4, 4, 0.3 in descending order.\nAnswer: 1230221\/2, 4, 0.3, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.64 - -5.14. Let h = r - 0.5. What is the closest to -1\/2 in h, -0.3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3427228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-33)\/15 + 2). Let u be 724\/(-26) - (-8)\/(-52). Let t = 42 + u. Solve j*a + g - 5 = -t, -5 = 3*a + g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693 and 580975857?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004069983 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 20370?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10952 is divided by 450.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 3*h - 549. Let u be r(0). Let s = -544 - u. Sort 1\/2, s, 2\/19 in ascending order.\nAnswer: 2\/19, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0149 and -46558.\nAnswer: 693.7142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**4 - k**2 + k + 1. Let p(q) = 34*q**4 + q**2 - q + 23. Let h(n) = 2*i(n) + 2*p(n). What is the first derivative of h(w) wrt w?\nAnswer: 264*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1. Let k be 1 - 0\/(20\/5). Let p(h) = 3*h**3 - 12*h**2 + 15*h - 2. Let j(d) = k*p(d) + 4*a(d). Factor j(u).\nAnswer: 3*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*r = -169, r + 3*r = 3*n + 158. Let u(l) = 67*l - 1182. Let o be u(19). Let q = n + o. Calculate the highest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 0.1, 1587898?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2180372756?\nAnswer: 2, 2729, 199741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/9 + -1\/9. Let q(r) = -r + 4. Let b(t) = -3*t - 4. Let j be b(-3). Let k be q(j). Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-21)*12*1\/(-28).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 43. Let f = -16.6 - z. Which is the closest to 2? (a) f (b) -0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6504?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2806669.1 rounded to the nearest ten thousand?\nAnswer: -2810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8607, 8680, 8755, 8832, 8911, 8992?\n\"Answer: j**2 + 70*j + 8536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 7:57 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4120 and 500.\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 784.6 and 1?\nAnswer: 784.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2201 + 4433. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18045845?\nAnswer: 5, 461, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/(-6))\/((-16)\/3). Let u = -55\/56 - n. What is the smallest value in u, -3, -5, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-2)*44\/(-55). What is the closest to -0.1 in 3, 0.1, 2, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/(2 + (-770)\/390)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*a - 1105 = 0, 2*r = -r + a + 674. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*n - 12. Sort 0.3, n, -0.6.\nAnswer: n, -0.6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**2 - 8*h + 8. Suppose -5*f + 12 = -f. Let s(a) = 4 + 10 - 17*a + f + 15*a**2. Give -13*i(g) + 6*s(g).\nAnswer: -g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 55*p - 30. Let i be l(28). Suppose -s + 271 = 5*u, -2*u + s - 216 = -6*u. Let a = u - 282\/5. Which is smaller: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*(sqrt(40)\/sqrt(2) + (sqrt(45)\/sqrt(81))**2).\nAnswer: -12*sqrt(5) - 10\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*b - 14 = -2*x, 4*x + 4*b = 24 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z - 4*z + 18. Suppose -7*s + 1 = -8*s + 4*b, 0 = 2*s - 5*b - z. Let o(m) be the first derivative of -m**3\/3 + m**2 + 4*m + 6. Give o(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -46?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959742 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-125)\/20 - -6) + 29\/4. Let a be 3\/(-21) + 50\/w. Solve 5*d + 4*n - 2*n = -5, n + a = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-3) + (2 - 0). Let u be 136\/(-12)*2*-3. Suppose -5*f + u = z*l - f, -4*f + 16 = 0. What is the remainder when 75 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27435 is divided by 1523.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -88 (b) 1\/3 (c) -16 (d) -0.018 (e) 1\/2 (f) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 95 = 18. Let i(w) = 2*w - 13. Let v(j) = j - 7. What is y*v(a) - 6*i(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*j - 7 + 7)*(2*j + 4 - 4 + (-1 + 0 + 0)*(6*j - 3*j - 2*j)) to the form x + l*j**2 + p*j and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -401 - -406. Sort 4, g, -2.\nAnswer: -2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254581932.\nAnswer: 2, 19, 43, 397, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 473*l. Let b(a) = -945*a. What is 2*b(q) + 5*g(q)?\nAnswer: 475*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 87? (a) -2\/13 (b) -64 (c) -5\/9 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272 + 485*y**2 - 272.\nAnswer: 485*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.43 + -0.93. What is the closest to 7 in n, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 18*h**2 + 62*h - 32. Give s(14).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23426 and 119.\nAnswer: 163982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18312829 to the power of 1\/2, to the nearest integer?\nAnswer: 4279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 9*o**5\/2 + 53*o**4 - 249*o**3\/2 - 677*o**2 + 156*o = 0.\nAnswer: -13, -3, 0, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139\/137 or 2\/3?\nAnswer: -139\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/984 and 83\/120.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/261745411 and -83\/404084.\nAnswer: 1046981644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/2 of a minute?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5 + 1873*t**4 + 1166224*t**3 + 239409944*t**2 - 1243030672*t - 3434401264 = 0.\nAnswer: -626, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*y - 15*y - 13*y - 13*y + 84*y - 19*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + h = 2*h + 3, -4*s + 5*h = -15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -497, -15 in increasing order.\nAnswer: -497, -15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -374.567 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0290449 at least as big as 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04291718 rounded to three dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 92 + 308 = 0. Suppose -x - i*x = -3445. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*s - 1629409 = 1058049. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (8 + -13 + 8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.053 - 6.053. Which is the third biggest value? (a) f (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((12 - 8) + -4 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7901, 7925, 7965, 8021, 8093, 8181, 8285?\n\"Answer: 8*p**2 + 7893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyn when three letters picked without replacement from {n: 4, y: 2, m: 1, l: 3, z: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2495 (base 14) to base 12\nAnswer: 3857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o, 2*g + 26 = -0*g - 4*o. Let h = g - 0. Sort h, 1, -4 in decreasing order.\nAnswer: 1, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0274 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026624?\nAnswer: 2, 3, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbgv when four letters picked without replacement from {b: 2, j: 1, g: 5, c: 1, x: 1, v: 6}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 808*b + 136311. What is y(568)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16 = -4*y, 5*y - 4 = 4*o - 24. Suppose -5*v + v + 168 = o. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -754\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiw when three letters picked without replacement from {i: 4, w: 1, r: 1, e: 1, b: 1, x: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 + (25 - -16) - -12. Solve -26*j = -47*j + q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 301*j - 7*j**2 + 17 - 299*j to z + g*j**2 + q*j and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 3. Suppose -5*k = -8 - 2. Let c be i(k). Let o be 2\/(-2)*1\/c. Solve -a - o = 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255 by -255.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1175 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, -2, 6 in increasing order.\nAnswer: -5, -2, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*y - 139 + 7 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 494 and 2052?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51 * -0.2752.\nAnswer: -14.0352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 123, 4?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 278*x**4 + 319*x**2 wrt x?\nAnswer: 6672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:57 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36251 is divided by 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -9*i**5 - 25*i**4 + 114*i**3 + 156*i**2 - 472*i + 96 = 0.\nAnswer: -4, -3, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 5*r - 1. Let t(h) = -6*h + 1. Let c(l) = l**2 + 5*l - 2. Let d(w) = 3*c(w) + 4*t(w). Give 3*d(u) - 5*x(u).\nAnswer: 4*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*p - 1323 - 1342. Solve 0 = 2*n - 10, -5*d - p*n = -39*n - 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14878 - 1.\nAnswer: 14877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 8:13 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-12)*(-24)\/20. Differentiate 4*f**3 - 8*f**c + 0 - f**3 + 12 with respect to f.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1846)\/(-4) + 2 + -3)*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 8*w + 3. Let v be q(6). Suppose 0*k = k + v. Is 6\/k - (-114)\/10 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/18 + 4*q**3\/9 - 5*q**2\/3 + 3*q - 4. Factor c(b).\nAnswer: 2*(b - 1)*(b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 340 or -49\/2?\nAnswer: 340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 16*p = -6046096. Let s = p - 2073728. Round s to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**9*i*i\/(i\/(i*i**(2\/5)\/i))*(((i\/i**(-1))\/i)\/i*i)**(-22) assuming i is positive.\nAnswer: i**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -4 - (-1258)\/37\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k**2 + 7*k. Let g(p) = -p**3 - 6*p**2 + 6*p. Let o = 1815 - 1809. Give o*b(s) - 7*g(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/5 and 37\/38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - u**2 + 2*u - 7. Let y be a(4). What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -691795\/36 + 19219. What is the common denominator of -71\/24 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1056\/363)\/(-16))\/((12\/(-4))\/(-9))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/157 in -2.91, -0.5, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 34*b**2 - 65*b + 44. What is p(32)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 74. Put 0, -1, n, 3 in increasing order.\nAnswer: n, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 19a58?\nAnswer: 19a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 479 + -440. What is the remainder when k is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3)*9\/(-3). Let g = 3 - z. Let b be 18\/(-12) + 7\/2. Is b < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f + 6. Is i(-6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220852024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5190.4417 to 0 decimal places.\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-4))\/(11\/(-44)). Let x be (120\/9)\/5 + (-3)\/k. Sort -2, 1, x, -4.\nAnswer: -4, -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 807991 = 47*h + 116*h. What is the remainder when h is divided by 146?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4057 (base 10) to base 15.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7378279 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a - a + (-6 - 6 + 7)*(7*a - 5*a + 4*a))*(-a**2 + 5*a - 5*a).\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 22 - 2. Suppose i*w - 5 + 0 = 0. Let s(f) = 3*f**2 - 2*f + 1. Let g be s(w). Put 4, g, -3 in ascending order.\nAnswer: -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407 and 440.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -db198 (base 14) in base 10?\nAnswer: -529922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v - 206. Let m = 56639\/4820 - 1\/1205. What is the common denominator of m and (-2)\/6 + v\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**2)\/q*q\/q**(6\/17))\/((q*q*q**(2\/31)\/q)\/(q**(7\/10)\/q*q)))**(11\/8) assuming q is positive.\nAnswer: q**(132319\/42160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01937 to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 0, 17, 50, 105, 188, 305?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/9*81\/(-18). Suppose -8 = -4*n, -18 - a = -4*r - 5*n. Solve -7*w + r*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**2 + 8*v**2 + 27*v**3 - 4*v**3 - 22*v**2.\nAnswer: 23*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 0*p**4 + 0*p**2 + 1\/21*p**7 - 1\/2*p**5 + p + 34 + 4\/3*p**3 + 0*p**6. Let l(r) = 0. What is r?\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0489 - 0.29?\nAnswer: -0.2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l*l**(2\/5)*(l**(-1\/4))**(13\/5))\/((l\/(l\/l**0))**(9\/4)\/(l\/(l*l**(2\/15))*l**(1\/8))) assuming l is positive.\nAnswer: l**(89\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-13 - -9)) + (20 - 24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7042 divided by -14?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -8. Let n = 4 - l. Put n, 2, -1 in descending order.\nAnswer: n, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/150 - m**4\/15 + 4*m**3\/15 + 13*m**2. Solve h(t) = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3526.\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + (-2 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89349025 or -89349011?\nAnswer: -89349011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -7 - (12 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -520*k - 26. Let a(b) = -347*b - 16. Let y(g) = 8*a(g) - 5*h(g). Let q(m) = -2*m. What is y(q(u))?\nAnswer: 352*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -814966 + 814989.00044. Let d = c + -23. What is d rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207 + -141. Suppose -t = -12*l - 10*l. Solve -i - l = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4710?\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(704)*-1.\nAnswer: -32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 2*f + 72. Let o be l(0). Suppose -o = -5*w - 12. Calculate the remainder when w is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(110)*-4)\/(sqrt(80)\/(sqrt(8)*3)).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1319 - -697. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.15 + -0.85. Let c = -5 - s. What is the nearest to 1\/11 in -0.4, c, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2654 divide 67416273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-220)\/24 + 4\/24. Let k be 7\/((-35)\/(-15)) + n. Let c be (-2)\/(-3) - (-10)\/(-6). Put c, 0, k in descending order.\nAnswer: 0, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6220145t in milligrams?\nAnswer: 622014500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1240\/25*18\/3744*26\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -2\/3*d**3 + 0*d - d**2 + 2. Let f = -6 - -3. Let p(h) = -2*h**2 - 3*h. Determine f*c(s) + 2*p(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -14*u - 8*u - 19*u + 21*u. Let a(b) = -b - 12. Let n(f) = 35*f + 450. Let w(i) = -75*a(i) - 2*n(i). What is q(w(m))?\nAnswer: -100*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*l**2 + 3*l**2 - l**2 - 3*l**2 + (-1 - 4 + 0)*(-5*l**2 + 5*l**2 - 2*l**2).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - v + 1. Let c(y) = 5*y**2 + 6*y - 6. Let n(w) = c(w) + 6*r(w). Let d(t) = -7*t**2. Give n(d(p)).\nAnswer: -49*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4*z - 2 = -9, 0 = -3*z + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 620 + -593. Which is the nearest to -0.1? (a) 3\/8 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) - 51\/(-4). Let l = -1 + y. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -21*d + 9. Let k be b(8). Let m = -415 + 1071. Let c = k + m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4876, 9337, 13800, 18265?\nAnswer: 22732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 33654322 (base 9) to base 7\nAnswer: 255555362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482730, 482732, 482724, 482700, 482654, 482580, 482472, 482324?\nAnswer: 482130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11124*a**2 - 77 + 38 + 39 + (2*a + 1 - 1)*(a - a - a).\nAnswer: -11126*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u**2 + 107*u + 28. Let g be n(18). Solve 9*a - 4*a - g = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 5*w - 23 - 6, -28 = 2*f + 4*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from rrbyryrrrrrbqrry.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99554375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5300206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/83, -1, -5\/4, -236, -16.\nAnswer: -236, -16, -5\/4, -1, 26\/83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -4, 0.3, 4, 0.061?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, m: 3, p: 1, i: 2, x: 3, h: 3}. What is prob of picking 1 m, 1 h, 1 g, and 1 x?\nAnswer: 27\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 + 54*a**2 + 37*a + 527. Calculate y(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from xxexeeccxeteteteeeec.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 1:16 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3866203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 0*c**3 + 8*c - 1\/6*c**4 + 0 - 5\/2*c**2. What is the derivative of s(l) wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -28*w**2 - 4*w - 25. Let l be z(2). Let c = 15 - l. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -633463, -38, -4, -5, 0 in ascending order.\nAnswer: -633463, -38, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/(-7) - -1 - -3. Let z = 37\/14 - x. Which is the third smallest value? (a) z (b) -2\/11 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (405\/27)\/((-6)\/8). Let s be (312\/k)\/(-6) - 16\/(-40). Solve -s*u = -4*o + 5, -2*u - 2*u + 3*o - 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+87987456\nAnswer: 87987455.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 201 - 197. Sort 2, -4, y, 1 in descending order.\nAnswer: y, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 2810407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7520 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22001210 (base 3) to base 2\nAnswer: -1011011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s + 787941 + 787944 - 1575885 - s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*a + 900 + 1043 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.297634532 - -0.2976. What is y rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 649 divide 30778176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1872) + (sqrt(1872)*-1)**2)*3 - ((sqrt(1872) + sqrt(1872) + -2 + (sqrt(1872) - sqrt(1872)*1))**2 - (3 + (sqrt(1872) - -1*sqrt(1872)))).\nAnswer: -1873 + 156*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -13*a + 10*a + 14, 4*a = -2*h + 64. Solve 7 = -4*r - j + a, 1 = 3*r + 5*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l = -21*l. Let c(n) = -n + 9. Let o be c(7). Put o, -4, l in increasing order.\nAnswer: -4, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/2)*s**(-2\/15)*(s*(s\/s**8*s*s)\/s*s)**(32\/5) assuming s is positive.\nAnswer: s**(-727\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 3. Let y be h(-4). Let l(i) = 7*i + 1. Let x be l(y). Let g(w) = w**2 + 3*w - 2. What are the prime factors of g(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 23*j - 6. Let w be c(10). Suppose -3*k = 2*k - 4*r + 50, 0 = -2*r. Let o be k\/55 + w\/(-22). Solve -14 - o = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(x**2 - x**2 - 2*x**4) + x + x**4 - x - 1 + 1 + 2*x**4 - 5*x**3 - 2*x**4 + 6*x**4 + 7*x**3.\nAnswer: 3*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 295895731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a**4 - 8*a**3 - 500657*a**2 - 271621948*a wrt a.\nAnswer: -96*a**2 - 48*a - 1001314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2699.5 smaller than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -0.23, 2, 17.2, -1, -4 in increasing order.\nAnswer: -4, -1, -0.23, 5\/4, 2, 17.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2924.71 - -22.5\nAnswer: 2947.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2704, 2482, 2126, 1636, 1012, 254?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 138 or -19\/2?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -540 + 657. Let a(g) = g**2 + 16*g - 19 + 35 + 26. Let j be a(p). Let n(d) = -d - 3. What is n(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 1. Let y be j(7). Let a be y\/((-7)\/((-238)\/4)). Let p = a - 208\/3. Which is smaller: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5200 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -830.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**11)**27*(r**(-10))**(-20))**(-4) assuming r is positive.\nAnswer: r**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13001 + -13006. What is the fourth smallest value in k, -3, 1, 1468, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 10 = 34. Suppose u*i = -7*i + 225. What is the hundreds digit of (-14 + i)*((144 - 2) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 16 = -2*c, -3*c + 452 = -o + 476 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, e: 17}. Give prob of sequence ee.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -43, -105 in decreasing order.\nAnswer: 7, -43, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, 0, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 6 + 4. Let w be (-2 + 6)\/(q\/(-10)). Solve 0*h - 2*h - 4 = 3*k, -2*h = -5*k + w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 7 = 5*g, g + 85*a = 36*a - 195 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -57*a - 11. Let g be h(-7). Calculate the common denominator of (2\/(-12))\/((-8)\/g) and (0 - 10)*(-30)\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 23*i + 3. Suppose -z = 2*z + 18. Let y be d(z). Let v = y - -194. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**(-9\/7)*w)\/w*w*w))\/w**11)\/(w*w*w*w*w**(-35)*w*w*(w*w*w*(w\/w**(-2\/15))\/w)\/w*w) assuming w is positive.\nAnswer: w**(1591\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u + 150. Calculate the lowest common multiple of 6 and 5\/(-3)*u\/(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 2*a**3\/3 - 8*a**2 + 1421*a. Let w(x) = x - 4. Determine -6*r(g) + 26*w(g).\nAnswer: 2*g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v = -4*v + 258 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 37. Let h = 0.447 + -0.027. Let j = 0.42 - h. What is the second biggest value in j, -0.06, a?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - p = 11*s + 2, -p = 5*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - p + 15. Determine w(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -9*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 396597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 94*j**2 - 338*j - 15115. Calculate b(-92).\nAnswer: -947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 552308513 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154 - 150. Let z(k) = k**3 + 7*k**2 - 3*k + 7. Let m(r) = -6*r**3 - 36*r**2 + 14*r - 36. Let p(l) = 2*m(l) + 11*z(l). Give p(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -120 + 135. Solve y*r + w = 8, 0 = 3*r - 6*r + 4*w - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -31*a + 216. Let g be j(7). Let x(v) = -v**3 + 10*v**2 - 9*v - 2. Let o be x(9). Let i be 3 - (g - o)*-1. Solve -i*r - 11 + 3 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -846*t**3 - 844*t**3 + 4204*t**3 - 844*t**3 - 843*t**3 - 840*t**3.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 326 and 40339240?\nAnswer: 40339240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1.5. Let d = 55\/9 - 58\/9. Put g, d, -7 in decreasing order.\nAnswer: g, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*i - 2. Let o be 5 - (1 + 1 - i). Suppose 0 = o*d - 98 + 18. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.1 (b) 14 (c) -3\/25 (d) -0.1 (e) 193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*-2 + sqrt(1053) + 3 + 2*sqrt(1053)*1)*2 + 5)**2*-1*3.\nAnswer: -12999 - 1188*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2421 + 2640. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/45)\/k**(13\/4) assuming k is positive.\nAnswer: k**(-577\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 448*b**2 - 2*b**3 - 448*b**2 - 3 - 1 - 3*b to the form f*b + v*b**2 + k*b**3 + i and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51112 by 2.\nAnswer: -25556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {g: 6, b: 7}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/3665115 and 191\/4263990.\nAnswer: 652390470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -39. What is the remainder when -6 - -1*46*18\/18 is divided by (-1)\/(-1) + a + 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from dtttttttttlltqlq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35962723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -326700\/7 - 1980\/7*c - 3\/7*c**2.\nAnswer: -3*(c + 330)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 15, 2, 10328, -1, 3 in decreasing order.\nAnswer: 10328, 15, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-77)\/6)\/11*16\/28. Which is the smallest value? (a) 18 (b) k (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -122, -180, -236, -290?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1900) + -1.\nAnswer: 4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -60*c + 50. Let f be v(0). Solve 11*j - 5 = f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = u - 2, 3*u - q + 2*q - 46 = 0. Let d(w) = -4*w + w + u - 23 - w**3 + 2*w - 5*w**2. Calculate d(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4308245889 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -4, 8, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -20 + 5. Suppose 4*m - q = 3*q + 29199980, n*m = -q + 21900005. What is m rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -17. Suppose l*d + 431 = 5*u + 136, 0 = u - 5*d - 59. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 11 + (-4 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y - 12 = 20*y - 4*m, 3*y + 9 = -m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 11) + -9 + 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37\/3 + -125\/6. Let f = u + 8. Let k = -2\/99 - -208\/495. Which is the nearest to -1\/4? (a) 1\/5 (b) f (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131509 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.69 and 5.5?\nAnswer: 3.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 2*t + 4. Let n(o) = 0 + o**2 + 61*o - 3 - 62*o. What is 3*j(p) + 4*n(p)?\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (241696\/(-474760))\/(10\/(-11)).\nAnswer: 14\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -523, -976, -1429?\n\"Answer: -453*u - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 14.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (6 - -3) + (-16 - -1515)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + 2 + 1 - (sqrt(12)\/sqrt(6) + 1)*4.\nAnswer: -1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -41*t**2 - t. Let n(r) = 4*r**2. What is n(c(b))?\nAnswer: 6724*b**4 + 328*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*k = -0*k - 70, -4*l = k - 124. Calculate the smallest common multiple of 3096 and l.\nAnswer: 15480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 2, -1, -7, -4, 141 in decreasing order.\nAnswer: 141, 2, -1, -4, -7, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:32 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 0.5. Let z = 213 + -1919\/9. What is the closest to w in -3, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05421 rounded to three decimal places?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 8*i - 2. Let a be k(-6). Let g be (15*-7)\/(9 + -10). Suppose -5*l + 2*l = -g. Solve -a = 5*z - l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63030 + 1?\nAnswer: 63031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5 = -2*y, -4 = 2*b + y + 2. Let g be 1\/(63\/(-60) - b). Let i be (2\/(-10))\/((-8)\/g). What is the smallest value in -6\/11, 0, i?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**2. Let k(a) be the first derivative of -22\/3*a**3 + 0*a + 27 + 0*a**2. Determine w(k(u)).\nAnswer: 2904*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69830 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 2\/13 (c) 0.0914 (d) -0.0605 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 1967752152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*u**2 - 3*u**2 - 2*u**2)*(-2*u - 2*u + 5*u)*(86 - 137*u - 86) to s + j*u + f*u**4 + w*u**3 + o*u**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**1)*s)**(-1\/12)\/(s**8*s*s\/((s\/s**(-5))\/s)) assuming s is positive.\nAnswer: s**(-61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1760 or 26\/3?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 0.0122489.\nAnswer: -0.4877511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 219169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56328*b**2*r**2 - 197*b*r**2 - 24*r**2 wrt b?\nAnswer: 112656*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05291 - -493.\nAnswer: 493.05291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -1 (c) -68780\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/3 (b) -157683 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27298575?\nAnswer: 3, 5, 121327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*((-16)\/(-8))\/((-2)\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 396, 589, 782, 975, 1168?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687*a = 2*u - 688*a + 8, -u - 5*a - 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2 - 3*b**2 - 44*b + 34*b + 36*b**4 + 60*b**4 wrt b.\nAnswer: 1152*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**3 + 42*r**2 + 103*r - 13. Calculate the remainder when 897 is divided by f(-3).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**2 + 75170*w - 282526445 = 0. Calculate w.\nAnswer: 7517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3345, 6666, 9987, 13308, 16629, 19950?\n\"Answer: 3321*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/21*-2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.53 + -0.04. Round o to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.241585 centuries to decades.\nAnswer: 2.41585","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -344 + 343. Is 1\/248 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 12 = 5*d + 3, -5*p - 5*d + 5 = 0. Suppose -165 = 272*m - 107*m. Sort -21, p, m, -4.\nAnswer: -21, -4, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 111 = 3*l - 0*l, 2*x = l - 77. Let c be x\/(-7) - (-6)\/21. Suppose t + 2*t = c. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12462 and 14682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*2 - sqrt(33)\/(-5*sqrt(11)))**2.\nAnswer: 2883\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422 divided by 474?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*a + 34 = -3705, j + 2*a = 1868. List the prime factors of j.\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 53. Let c = h - -45. Let u be 77 - (-1)\/2*-4. What is the greatest common factor of u and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52 + 502*o - 254*o - 254*o)*(-5 - 1 - 5)*(-3*o + o + o) to l + j*o**2 + v*o and give v.\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 10 = 4*h, 4*h - 459 + 475 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1 + 207 - (11 + -1 + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*n**5 + 99*n**2?\nAnswer: 3720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 2. Let s(g) = 8*g - 423. Give 6*d(t) - s(t).\nAnswer: -2*t + 411","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 56886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = -1, 3*t - 12547 = 4*c. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -4*z - 6*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12068 and 434448.\nAnswer: 434448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 81 and -0.03999528?\nAnswer: 81.03999528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - 11496725691.\nAnswer: -11496725668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 109 = -211. Let x = a - -76. Calculate the highest common divisor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - -145501?\nAnswer: 145542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3 + (-7)\/(-2)). Let f(o) = 24*o**2 + 2*o - 1. Let z be f(p). Let h = z + -41. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v*(v\/((v\/(v*v**1*v*v))\/v))\/v)\/v)*v)\/v)\/v*v)**(2\/15)*(v**3)**(1\/10) assuming v is positive.\nAnswer: v**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083*p - 230*p = 3911*p + 141048 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8*k - 5. Let b(l) = 39*l - 26. Let i(a) = -5*b(a) + 26*r(a). Let y(z) = -4*z**2. Give i(y(j)).\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.06 + 2. Let t = w + -0.08. Let m = 0.07 - 0.17. Is m less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/320 and -21\/6920.\nAnswer: 55360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -61202 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 0 (c) 5.9777\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137413 (base 8) to base 13.\nAnswer: 19351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*j - 55 = 0, -5*i + 3*j + 3 = -52. Suppose 4*l - 5*u + 14 = -i, 2*l + 29 = -3*u. Let q be 114\/165 - 4\/l. Is 0 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57340, -57344, -57348, -57352, -57356?\nAnswer: -57360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.55 * -0.54\nAnswer: 0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(8) - sqrt(8)*1) + 3 + ((1*sqrt(648) + sqrt(648))*5)**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 5*f - 30, -2*s = 7*f - 2*f - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((1*sqrt(4))\/sqrt(2) - (sqrt(2) - sqrt(8)\/sqrt(4))*6 - 5*sqrt(16)\/(sqrt(56)\/sqrt(7))) + -5)**2.\nAnswer: 200*sqrt(2) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 - 14*x + 23 + (5 - 5 + 2*x + 2*x - x + x + (-3 + 3 + 2*x)*(-4 - 3 + 5) + 2*x + 4*x - 4*x + 3*x - x - x)*(-1 + 3 - 4).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-20) - (-1 - 5)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40281849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15b5 - 1a2?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 122767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -27. Let h = 716.01 + -712. Let k = 1.01 - h. What is the nearest to x in k, -2\/15, 0.2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o\/(o*(o**1\/o)\/o*o*o)*o)\/o))**(-2\/11) assuming o is positive.\nAnswer: o**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 23, 11, -17, -67, -145, -257, -409?\n\"Answer: -y**3 + y**2 + 2*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 1)**2 + -3 - 3*-3*sqrt(128)) + 4.\nAnswer: 88*sqrt(2) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1289.451 weeks?\nAnswer: 779859964.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31648027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 5420880.\nAnswer: 5420880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.26 and -0.01.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlr when three letters picked without replacement from {l: 6, r: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - -41 - (0 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*n + 5*n - 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 2*b + 1. Let m = -29 + 30. Let d = 5 - m. Determine p(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/60 + w**4\/24 - w**3\/3 + w**2. Let h be (14 + -12)*-2*1. Is s(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -1 + (0 - -1). Suppose x + z - 1 = 0, -3*x - 2*z + 0*z + 8 = 0. Let i = w + x. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, -11, 5, -4 in ascending order.\nAnswer: -11, -8, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 1:34 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2466198466 to the nearest integer?\nAnswer: 49661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 285252 and 3193958?\nAnswer: 4322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 33*i. Let w(k) = 34*k. What is 5*d(h) - 4*w(h)?\nAnswer: 29*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17257, 137892, 465321, 1102942, 2154153, 3722352, 5910937?\nAnswer: 8823306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 43*t**3 - 13*t**3 - 24*t**3 - 2 - 4*t + t**4 to the form l + k*t**2 + j*t**3 + b*t**4 + q*t and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 80 + -95?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -237, -956, -2155, -3834, -5993, -8632?\n\"Answer: -240*v**2 + v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(2\/(-4))*-1. Suppose -j + 11 = -u, 0 = -b*j + 4*u + u + 37. Solve -2*n - j = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 228 = 4*z. Calculate the smallest common multiple of z and 5.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -30 - (-3 + (0 - (3 + -3))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -2*a - a. Let k(w) = 335*w + 9. Let u(d) = 112*d + 3. Let h(s) = 3*k(s) - 8*u(s). Let o be h(3). What is the highest common divisor of o and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 + 100\/16. Suppose -15*s = -i*s. What is the biggest value in s, 1\/10, -2\/3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, o: 1, c: 3, q: 2, a: 3, n: 7}. Give prob of sequence nvvc.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 5*s - 2. Let b(o) = o - 2. Let t be b(8). Let x be y(t). Suppose -r = -0*r - 5. Are x and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = j, -34*x + 4*j - 3 = -35*x. Let w(t) = -2*t**2 + 11*t + 24. Calculate w(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275955609?\nAnswer: 3, 3823, 24061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 281286?\nAnswer: 3094146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -11. Which is the closest to u? (a) -1\/5 (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214683?\nAnswer: 1214683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2. Let i be (-12)\/(-18)*(-1 - -4). Suppose -2*k - 4*p + 14 = 0, 0 = i*p + 3*p. Let l(g) = -k*g - 21*g - g. Determine l(d(y)).\nAnswer: 29*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 12:00 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*s, -5*t - 2*s - 9 - 6 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5128 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*l + 32*l + 3*x - 33, -3*x = 20*l - 303. Suppose 2*k + s - 82 = 0, -k = 3*k + 4*s - 160. What is the lowest common multiple of l and k?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.18 + 0.2. Let u = b + -7.02. Let f = 6.9999925 + u. What is f rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 13*a - 463. Suppose -a*m = -86*m. Let f = 70 + -41. Solve -6*s = q - s + f, m = -s - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1551 + -aaf8?\nAnswer: -c049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 776, 3261, 7392, 13157, 20544?\n\"Answer: -2*b**3 + 835*b**2 - 6*b - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*g + 0 - 4 - 87*g + 12*g + 5 in the form m*g + d and give m.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 4 (c) 214\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 11232138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010310 (base 4) in base 3?\nAnswer: -20001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*20\/8*(-6)\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 + -3) - (5 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1060 and 2962170.\nAnswer: 5924340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f. Solve -4*y - 5 + 21 = f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.012 and 27?\nAnswer: -216.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/4)*w**(-2\/11))\/((w*w\/(w*(w*w\/w**(2\/3))\/w))\/w)**(-3\/14))**(14\/9))**(24\/11) assuming w is positive.\nAnswer: w**(-4\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 1760?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 8. Determine k(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47a819 - -4?\nAnswer: -47a815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 217, 628, 1039, 1450, 1861, 2272?\n\"Answer: 411*v - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 times 2236?\nAnswer: -114036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 12 = 10*c - 5*c, -5*l + 7 = c. Let w(h) = 0 - 5 + 5*h**2 + c - 6*h - 1. What is the tens digit of w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 7:03 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102 + 2012?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 89.211 times -21\nAnswer: -1873.431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5 + 1047*n**4 - 31182*n**3 + 184842*n**2 + 608715*n - 763425 = 0. What is n?\nAnswer: -377, -3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82.4021 + 0.1021. Round z to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6250105 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 13 (b) 2\/5 (c) -527\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230435 is divided by 79.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 39*p**2 - 970*p - 33161. Give n(-37).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 44. Let f = -246.1 - -246. Which is the closest to u? (a) -11 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 23*b**2 + 127*b - 20. Give i(-28).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880.1784ml to litres.\nAnswer: 0.8801784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzlznkkzzyhhnhhhkyh. Give prob of picking 1 l and 1 k.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(1\/21)*f*f\/f**12)**16)**10)**(-5) assuming f is positive.\nAnswer: f**(133600\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1. Let a(q) = -q**3 + 7*q**2 - 4*q - 6. Suppose 7*c - 6*c = -2. Let i(b) = c*d(b) - a(b). What is i(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567429050 to the power of 1\/2, to the nearest integer?\nAnswer: 39591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*i + 1337*i - 264*i - 268*i - 264*i + 203 - 271*i.\nAnswer: -i + 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 2*f**2 - f**2 + 1 - f + 0*f**3. Let v(g) = -2*g**3 + g + 1. Let r(i) = -2*i + 15. Let q be r(7). Calculate q*h(x) - v(x).\nAnswer: x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Let s = -0.043 + 5.443. Let p = 1.4 - s. Which is the closest to p? (a) -1\/3 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k - 3628896 = -121*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1344 and 5024.\nAnswer: 211008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 46*o**2 + 15*o - 17. Let p(x) = 22*x**2 + x. Give g(y) - 2*p(y).\nAnswer: 2*y**2 + 13*y - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 0 + 4 + -2. Let a be (0 + 1)*l\/18. Suppose -4*t + 3*o + 836 = a, -209 = -2*t + t + 5*o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y - 10. Let h(t) = 5*t - 1. Let g be h(1). What is the lowest common multiple of j(g) and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 78551.2mg?\nAnswer: 78.5512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.127307353 to 3 dps.\nAnswer: 1.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**4\/8 + j**3 + 6*j**2 - 4*j. Calculate s(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a + 8. Suppose -w - 4*s + 11 = -9, 5 = 2*w + s. Suppose -12*q + 13*q - 4 = w. Solve -v + 3*o = a, -3*v + 0*v + q*o - 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -24280, -5 in decreasing order.\nAnswer: 3, -5, -24280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3167376249.\nAnswer: 3, 16993, 62131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -y - 17, -2*g + 8 - 66 = 4*y. What is the remainder when (1\/2)\/((-2)\/y) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.42 to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8308 + -8250. Which is the biggest value? (a) 3 (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0 - -3) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/1 + 4 + -2. Suppose -5*p + 1 = k, 0 = -5*k + 4*k + 1. Put t, p, -5 in descending order.\nAnswer: p, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 2. Which is smaller: -22 or c?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 430600250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 434*g + 324*g - 104*g - 8502 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-2)\/44)\/(1122\/(-339405)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*c + m, -14 = 72*c - 70*c - 4*m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31.53892km?\nAnswer: 31538920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92151.2 decades in centuries?\nAnswer: 9215.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150 + -124. Suppose -2*s + 153 = -3*l, -23*s - 222 = -f*s - 3*l. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9259487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65504 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 + -116.55. Let o = f - 4.32. Round o to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c*d**3 + 7412*c*d**2 - 9416*c*d + 2*c - 2*d**3 - 3*d**2 + 21*d + 1 wrt d?\nAnswer: -48*c*d + 14824*c - 12*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25545 greater than 2631034\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwbtfwwfbmfmf. Give prob of sequence bf.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94540435 - 2*z**3 + 4*z**3 + 94538788.\nAnswer: 2*z**3 - 1647","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2114*-0.2.\nAnswer: -0.04228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 20 = -5*p, -4*p - 2*x + 16 - 4 = 0. Suppose p = 3*m - 4. Factor 0 + 1\/3*i**m + 1\/3*i**3 + 0*i.\nAnswer: i**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -6*o - 11*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-430583824)\/66 - (-24)\/(-9). Round v to the nearest 100000.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 22. Which is the second biggest value? (a) l (b) 3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-6)*48\/(-252)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2063 + 0.2063. What is the fourth biggest value in 0.01, -5\/2, 0.4, o?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvvk when four letters picked without replacement from lpmlplvpppppllzpzvlk.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -153274.5 and 307.5.\nAnswer: -152967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let p(d) be the third derivative of 1\/2*d**3 + 0*d + 0 - 178*d**2 + 1\/2*d**4. Calculate p(k(v)).\nAnswer: -12*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25585364 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 - 3b?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1222*12465\nAnswer: -15232230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17517 divided by -4\nAnswer: 17517\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 5*g + 6. Let d be m(-4). Let r be (-3 + d)*(-1 - 4). Suppose 2*v - r = 1. Solve v*c + c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*f + 9, -5*x - 5*f + 15 = -0. Let s(h) = h**2 + h - 25. Determine s(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -88*k**2 - 3*k - 7. Let v(l) = -4*l**2 - 2*l - 1. Let i(u) = -q(u) + 5*v(u). Let g = -1 - -4. Is i(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 26 = -2*h, 5*a + 2*h + 2*h = 148. Suppose 5*x + 22 = 4*f, -2*x = 3*f + 2*x - a. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 2*f**5 + 78 - 8*f**3 + 11\/2*f**4 + 32*f - 20*f**2. Let b(a) = 0. What is a?\nAnswer: -2, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2616*u**2 + 61*u + 60. What are the prime factors of m(-1)?\nAnswer: 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -33\/5, -0.1, 2, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 7*g**2 + 3*g + 7. Let v be k(-7). Let p be 80\/v + 2\/(-7). Let b(m) = -2*m - 2. What are the prime factors of b(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -a - 7, a + 8*y - 4*y = 11. What is the closest to -5\/2 in a, -4, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7851730 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 57?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*(sqrt(242) - (sqrt(242) + 1)) + -6*(5 + sqrt(242) + (sqrt(242) + sqrt(242) + 1 - sqrt(242))))*4)**2.\nAnswer: 130944*sqrt(2) + 572944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192)\/(-112)*(-2)\/(-24)*392.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15*1*2\/3. Calculate the common denominator of 52\/9 and (18\/u)\/(20\/(-125)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-3))\/(7\/(-84)*4). Suppose -a + 32 = 3*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09763843188 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101007.593 microseconds in weeks?\nAnswer: 0.0000018204490625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160 - 159.02. Let d = 1.48 - x. What is the closest to -0.2 in 4, d, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*m + m + 9, 0 = -2*p - 3*m - 39. Let d = 2 + p. Let j = -9 - d. What is the remainder when j is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4402 or 1?\nAnswer: 1\/4402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c**2 - 112505343*c + 22501068 = 0. What is c?\nAnswer: 1\/5, 7500356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 12. Let p be r(-5). Suppose -4*k + 22 = 2*d + d, 10 = d + 2*k. Suppose -s + d = s. Calculate the highest common divisor of p and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.385. Let w = 10.317 + -10.4. Let j = l + w. What is j rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8133 - 2733 = 8*y. Suppose -y = -t + 3*m, 3*t - 981 = 4*m + 1044. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1168*i - 1409*i - 7477 + 33 - 4365 = 0 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11559104 divided by 1444888?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -17\/2*a**2 + 0 + 0*a**3 - 7\/12*a**4 + 18*a. Find the first derivative of p(u) wrt u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 2044?\nAnswer: -2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -318*l + 314*l - 3*x - 27, -4*l + 5*x - 13 = 16 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -640*p + 5759. Give h(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 5*c + 4414. Suppose -38*g + 6*g + g = 0. Is w(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-10))\/((-3)\/(-60)). Let o(z) = -z - 6. Give o(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 5*q**4\/24 - 11*q**2 - 4*q. Let l be (-1)\/1*(-1 + -1). Let t(w) = l + w - 2. What is v(t(j))?\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03957 - -0.21422.\nAnswer: 0.17465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = s - 44, -137*s + 30 = -136*s - 2*n. Solve -8*y - s = 9*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141177 by -1.\nAnswer: 141177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -g + 71. What is the remainder when 41 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Let f(r) be the third derivative of 2465*r**4\/24 + 146*r**2 + 2. Calculate f(m(q)).\nAnswer: 2465*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 3*w. Suppose w = -4*r - 2*y + 4*y + 72, -4*y - 25 = -r. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*r = -4*r - 18, -72 = -4*y - r. Suppose 28*s - 41*s = -78. Solve -y = -s*j - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4986859887.\nAnswer: 3, 271, 2044633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -5)\/(3\/(-3)). Let o = 7 + -13. Let f(z) = z**3 + 7*z**2 + 5*z - 3. Let s be f(o). What is the closest to u in -1, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144.177 + 3453139.7\nAnswer: 3452995.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (3 - 5 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -2 + -1 + (-39 - -26)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - ((-2 - 9) + 26 - 10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - d + 2. Let r(n) = n**2 - 7*n - 2. Let x be r(7). Let l be s(x). Let t be (-310)\/(-3) - l\/6. What is the greatest common divisor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5081*j - 579. Is k(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -15. Suppose w + 9 = -d. Let o = w + 45. Are o and 25 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f - 120. Let x be l(16). Solve 6 = -x*s + 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 4*o**7\/21 + 8*o**4\/3 + 44*o + 19. Let d(k) be the first derivative of c(k). What is the third derivative of d(w) wrt w?\nAnswer: 480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1. Let q(b) = -2*b + 7. Let t(a) = q(a) + 6*s(a). List the prime factors of t(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g**2 + 16*g**3 - 75*g**2 + 96*g**2.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d - 6*d + 6*d)*(127757*d**2 + 184*d**3 - 127757*d**2 + 9).\nAnswer: 1288*d**4 + 63*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 + 4 = 0. Solve 4*t + 2*n = -8, t + 3*n = -1 - s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 3*b + 1. Let a be (-3 + 4)\/(1\/2). Let d be l(a). Let k = 772 - 767. Solve 2*u - 2*g + g = 0, -d*u = k*g - 26 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuxnnonnuu. What is prob of picking 1 o and 2 n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2250 and 14933250?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + h + 65 = 0, -6 = -2*z + 3*h - 64. Which is bigger: z or -24?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**3 - 3*x**2 + 4*x - 1. Let k(m) = 5*m**3 + 4*m**2 - 5*m + 2. What is 6*j(a) + 5*k(a)?\nAnswer: a**3 + 2*a**2 - a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3473 + 83365\/24. What is the common denominator of 21\/(-9) - 248\/64 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v - 51. Let a(b) = 3*b - 48. Give -6*a(n) + 5*g(n).\nAnswer: 2*n + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*u + 4 = -18, -2*v - 5*u - 7 = 0. Suppose 2*y - v*z = 35128 - 235132, -3*y + 3*z = 300003. What is y rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -513, -858, -1203, -1548, -1893?\nAnswer: -2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121 + 489. Let f = 618 - t. Put -0.4, 1\/15, 2\/11, f in descending order.\nAnswer: f, 2\/11, 1\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 37 (b) -1 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 10. Let z be (-16)\/(-6) - (-8)\/(-12). Suppose -y*x + z = -25. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - 30. Let j = w - 52. What is the greatest common factor of 128 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1096\/9 - 122. Let t be (2\/(-10))\/((-2)\/(-5)). Let d = 6 - 1. Which is the closest to -1? (a) t (b) d (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:11 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4 - 16. Solve 2*i - k + 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) - (sqrt(539) + -1) - (sqrt(11) + -2)*-3.\nAnswer: -5 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-16) - 210\/(-24))\/(-1 - (-14)\/12).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 5*t - 12. Let c be b(3). Calculate the greatest common factor of 20 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 0 + (-14 - -11). Suppose t = -8*v + 6*v - 20. Let h be (-48)\/(-15)*(-75)\/v. What is the greatest common factor of h and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 16*p. Suppose 0 = -7*d + 10 + 11. Suppose -d*x - 6 = -8*x - k, 0 = k - 1. What is g(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 102806205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 q when three letters picked without replacement from {x: 2, q: 10, k: 4, y: 3}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -33616 at most as big as -33609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 8:53 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -9. List the prime factors of ((-10)\/s)\/(2\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26203884 divided by 4367314.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -1.9 (c) -65 (d) -172 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -73144*-2.41\nAnswer: 176277.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-8) + (-16)\/(-64). Suppose m*r = 3*a, 0 = 3*a - 2*a - 3*r + 5. Solve o + o = 3*q - 12, -3*o - q = -a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 552 - 2756\/5. Which is the closest to -2\/49? (a) -1\/6 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c9725 (base 16) to base 9.\nAnswer: 1486765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.68 - 1.68. Sort x, 0.1, 0.\nAnswer: 0, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43515, 87134, 130753, 174372, 217991?\n\"Answer: 43619*o - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440*s**3 + 85*s**3 - 159*s**3.\nAnswer: 366*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxxxqxqxqxqq. Give prob of sequence qx.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 5*n + 3*n)*(3*n - 2*n + 0*n)*(1 - 12*n**2 + 7*n**2 + 10*n**2)*(-3*n - 39*n + 4*n).\nAnswer: 190*n**5 + 38*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 122.\nAnswer: 20\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 19*a + 12*a - 14*a + 15*a**2 - 4*a**2. Let x(r) = 2*r**2 + 3*r. Let s(f) = -6*o(f) + 34*x(f). Let d(g) = -9*g + 1 - 15*g - 1. What is s(d(p))?\nAnswer: 1152*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g. Let p(y) be the first derivative of -y**2\/2 + 9*y - 127. Determine d(p(n)).\nAnswer: -2*n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2049972*t**4 + 2982113 wrt t.\nAnswer: 8199888*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -169 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.12\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -48388.53 rounded to the nearest 100?\nAnswer: -48400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2 + 1350894*x - 28369656 = 0.\nAnswer: -675468, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-117)\/(-26)*4\/6. Suppose -4*j = 12 - 40. Let w(q) = -9*q + 17. Let z(v) = 4*v - 8. Let r(g) = j*z(g) + 3*w(g). Calculate r(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3 + 18. Let t(i) = -i**3 - 7*i**2 + g + 1 + 4 - 3. What is the units digit of t(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-91) + (-2)\/26*-28. Differentiate -8*m**2 - 43 + 27*m**2 - 21*m**f + 16*m wrt m.\nAnswer: -4*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542 = -230*h - 1206 - 1176 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57597870 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + f**2 + f + 1. Let g(d) = 14*d**3 - 3*d**2 - 5*d - 5. Calculate -g(x) - 3*m(x).\nAnswer: -11*x**3 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2951, -5901, -8851, -11801, -14751, -17701?\n\"Answer: -2950*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 22005.15t?\nAnswer: 22005150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 13632630*o. Let w(l) = 2*l. Give k(w(c)).\nAnswer: 27265260*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t**3 - 2*t**2 + t. Let j be f(1). What are the prime factors of (-90)\/j - 4\/16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 516 and 929004?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -8 - (6 - 5). Let w be 12\/9 + b\/(-9). Let c = -2 - -1.9. Which is smaller: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/7180 and 167\/930?\nAnswer: 667740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -178 + -4?\nAnswer: -17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73 and 53.33627.\nAnswer: 3893.54771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*u + a, 928*a + 30 = -3*u + 923*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -304 - -301. Put 66, l, 1 in descending order.\nAnswer: 66, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122.5 - 123. Let l = -191 - -184. Let k = -0.2 - -0.1. Which is the smallest value? (a) h (b) k (c) 0 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 1529 = -1113. Calculate the highest common divisor of j and 962.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, 1\/12, 4, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5157 and 49087.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**5\/2 - b**4 + 195*b**2\/2 + 421*b. Differentiate w(u) wrt u.\nAnswer: -30*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16631 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1 + 0.1. Let p = d - -8. Let l = -0.0524 - 0.1476. What is the nearest to -0.3 in -3\/2, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9570 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 4*q = 5*c + 430430, 2*c + 107609 = q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**3 - 5*l**2 + 20*l - 83. Let i(x) = -2*x**3 - 6*x**2 + 20*x - 85. Let c(v) = 4*i(v) - 3*t(v). Let w be c(8). Solve 14 = 3*a + w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + -54. Let h = y - -111.941. What is h rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -36870, -2, 2\/15, 4\/5, 1\/184?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 - 2*b**4 + 9*b**4 + 4*b + 2*b**4 - 4*b + (-6*b**3 + b**3 + 3*b**3)*(-2 - b + 2) + 2*b**4 + 3*b**4 - 3*b**4 + 3*b**4 + 0*b**3 + 0*b**3.\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.007865 times 234\nAnswer: 1.84041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 518\/11 - 47. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29.7 in -0.5, 1, -3\/7, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**4 + 42*q**3 + 1833*q**2 + 7308*q - 9180 = 0?\nAnswer: -15, -6, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1319592, 1319581, 1319570, 1319559, 1319548?\nAnswer: 1319537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -u. Let s = -2 + u. Suppose 5*w - 60 = -2*o, w = s*o + 13 + 21. What is the remainder when 53 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00709951 rounded to five decimal places?\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/312485 and 41\/11.\nAnswer: 3437335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2587\/3 - -903. Let h = 42 - z. Which is the fourth smallest value? (a) h (b) 0 (c) -2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/113 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28613 and 4433?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-20))\/(-11*54\/990).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/40)\/(33\/1518)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (-211 + (-6 - -3)). Let b be 20\/n*(-3)\/2. What is the closest to b in 0.4, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3 - 128. Suppose 27*i = d*i + 8. Solve 25 = i*q + q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 55073874 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*c - c**2 - 453*c**3 - 53*c + 455*c**3 + 4*c**2.\nAnswer: 2*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.15, -0.1, 5, 86, -6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.7 + 6. Let d(w) = w - 5. Let t be 2\/(-5) - 81\/(-15). Let c be d(t). Is k < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 42381?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27996 by 4666.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*d + 157*d - 17*d - 19*d - 22*d - 15*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 8:25 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100 - (-4 + 31 + -12 + (-5 - 3)) - -12?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**6\/3 + 74*q**5\/5 + 35*q**4\/2 - 74*q**3\/3 - 36*q**2 - 86. Find h, given that a(h) = 0.\nAnswer: -36, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 2*x - 8. Let t be j(-5). Let b = t - -163. Calculate the highest common factor of b and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 12. Let s(l) = l - 1. Let u(m) = m - 2. Let j(w) = -3*s(w) + 4*u(w). Let h be j(9). What is the highest common factor of h and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 378 + -378. Which is the biggest value? (a) 1.3 (b) r (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3066 times 0.058473?\nAnswer: 179.278218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71669.98 years in months?\nAnswer: 860039.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-2 + 3)*1. Let m(x) = -2*x + 0 + 1 - 2. Let g be m(r). Put g, 4, -3 in increasing order.\nAnswer: -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -1, -82, -13 in descending order.\nAnswer: -1, -13, -52, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 9 = 0. Let g be r\/4*(-48)\/(-18). Suppose -22 = -4*x + g*w, 0*w - w + 7 = x. Solve 3*n - x*n - 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 139. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 468831 and 468831.\nAnswer: 468831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23211 + -1?\nAnswer: -23212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 18 = -13*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3720 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -r + 8161, 0 = -n - 4*r + 1128 + 1574. Suppose 7*p - n = -720. What are the prime factors of p?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3637901 divided by -6.\nAnswer: 3637901\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*l**3 + 28*l**2 - 423*l**3 - 63*l**2 - 84*l**2.\nAnswer: -150*l**3 - 119*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -33. Let o be (4\/s)\/((-2)\/20). Suppose d - 2*w - 154 = 0, -5*d + 2*d = o*w - 452. What is the highest common divisor of d and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 10*p. Let r be h(10). Suppose r = -o - 10*o. Put o, 5, 24 in ascending order.\nAnswer: o, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 86 = -3*f - 0*o, -4*f - 118 = -o. Let j = -88\/3 - f. Let y = 0.8 + -2.8. Which is smaller: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 26. Suppose -7*k = -s*k - 199. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*p - 627, -4*p + 9*p + 1036 = 4*g. Let c = 397 + p. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*83\/(40670\/(-112)). Factor -j*a + 32\/7 + 2\/7*a**2.\nAnswer: 2*(a - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 - (-70)\/(-15). Let p = 8 + d. Solve 1 = -j - p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3259641 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 48927 and 3.6399.\nAnswer: 48930.6399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*(-57)\/65037*21\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/(28\/(-232)))\/((-4)\/14). Let v = p - -203. Solve 5*l - 5 = 3*d, v = -2*l + 3 - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82117.91 years to months.\nAnswer: 985414.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -28. Let q(d) = -2*d**2 + 19*d. Let s be q(i). Suppose -8*w + 12*w = s. Solve -h + w = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**9\/1008 + l**5\/40 + 4*l**3\/3 - 4. Let o(v) be the third derivative of m(v). Find the second derivative of o(b) wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*p - 14 - 9, 5*p - 3 = 3*r. Let f be 4\/(-8) - 258\/r. Let u = 93 + f. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-710)\/36 + 25432\/396 + -64.\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/7*45\/(-120)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69524*p**2 + 95216 with respect to p.\nAnswer: -139048*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times 0.14\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 1408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43.52 + -19.28. What is p rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 1. Give s(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39933125*o**3 - 1490724*o**2 - 14*o.\nAnswer: -239598750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 5. Let w(p) = -6*p + 14. Suppose 0 = 3*z + 47 + 4. Give z*l(o) - 6*w(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969662 a multiple of 552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 1)\/((-38)\/20 + 2). Let o be q\/16 + (-92)\/(-16). Suppose 4*b = o*b - 144. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 8*i + 97. What is g(9)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1+-2481095.5\nAnswer: -2481094.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n - 76 = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/362 and 19\/73888.\nAnswer: 13373728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 130.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*(-255115)\/140)\/(1\/(-2)). What is the highest common divisor of 591 and s?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 - 3749844*b - 3749847 = 0 for b.\nAnswer: -1, 1249949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 6*o**2 - 8*o - 3. Let z be r(-7). Let l be 19 - 2*3\/6. Suppose 0 = z*h - h - l. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -398*r - 483. Is d(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 8 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1643 + 1571 = 6*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3, -m + 17 = -2*a - 6. Let c = a + 16. Calculate the remainder when 54 is divided by (1\/c)\/((-5)\/(-165)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1912*r**4 - 90618*r**3 + 58*r**2 - 514385*r wrt r.\nAnswer: 45888*r - 543708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 42504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1284*t**2 + 223*t - 409. Let v(y) = -428*y**2 + 73*y - 136. Let n(a) = 2*p(a) - 7*v(a). List the prime factors of n(2).\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 4, h: 3, u: 4, j: 1}. What is prob of sequence su?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*1 - (-9 + 6). List the prime factors of 3*s*16\/20.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 6*v**2 + 2*v - 8. Let o be -12*(26\/(-28) + (-9)\/(-21)). Determine m(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 56\/(-252) - 130\/(-18). Let z(r) = h*r + 3*r - 5*r - r - 2. Calculate z(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 13 - a + 0 - 44*a**2 + 43*a**2. Calculate k(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24576 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -99. Let w be 2*(132\/(-8) - 0). Let z = w + i. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001101010 + 1000?\nAnswer: -1110001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 3 + 3)*(c + 3 - 3)*(-3 + 3 + 8) + (-4*c + 0*c + 2*c)*(-c - c + 0*c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 63408747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1736.58 + -8146178175.\nAnswer: -8146179911.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 13 (b) -2\/13 (c) -2\/9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -2*l + 2*k - 4, 5*l + 5*k = 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 22*c + 28. Is 9 a factor of i(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1989913077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104524500 (base 6) to base 8.\nAnswer: -7220024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**3 - 3*d**2 - 4*d - 4. Let u(j) = j**2 + 5*j - 2. Let s be u(-6). Let a be p(s). Round a to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + p + 0)*(-2*p - 4 + 4)*(7*p - p - 3*p) as b + s*p**2 + c*p + m*p**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714344427.\nAnswer: 3, 2939689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.83 - -9.83. Let r = 0.003 + 4.997. What is the smallest value in v, 0.2, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -269410, -269414, -269418, -269422, -269426?\n\"Answer: -4*j - 269406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900\/(-285)*((-9)\/5)\/(4\/5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 39*h**2 + 2027*h - 72. Calculate m(-52).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6903\/2184 + (-99)\/77.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9788544 divided by -18752?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(4\/9)*b\/(b*(b**(-4\/3)\/b)\/b))\/(b**(-1\/2)*b*b**(2\/11)*b))\/((b**(5\/3)*b**(3\/2)*b)\/(b*b\/b**5*b**(-2\/5))) assuming b is positive.\nAnswer: b**(-2708\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-60) + 192\/(-1440)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -960 divided by 4.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 1503*i - 22342. Determine p(-15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 2:06 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4392*d - 4357*d = -140 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 1194.\nAnswer: -1193.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2494*a**2 - 289360*a + 6496 = 0.\nAnswer: 28\/1247, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 12 = 36. Suppose -4*o + g = -4. Solve -5*p - 3*s + o*s + 5 = 0, -2*p + 5*s = 21 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) + (sqrt(95)*2 + sqrt(95))*5 - sqrt(95) - sqrt(95)))\/(sqrt(5) - (sqrt(5) - sqrt(80))*-3))**2.\nAnswer: 3211\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-4)\/6). Let u = 0.1 + -0.2. What is the biggest value in 4, u, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 5. Let h(f) = -9*f. Determine h(o(l)).\nAnswer: 9*l**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 186304133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 48 = -21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 819. Let d(j) = 19*j**2 - 18*j + 14. Give k(d(z)).\nAnswer: -19*z**2 + 18*z + 805","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/(40700\/(-132))*-5)\/((-14)\/(-110)).\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w + 9. Let g(i) = 4*i + 8. Let j(z) = 5*a(z) - 4*g(z). Let y be j(12). Which is bigger: y or -3\/10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1710050 divided by 10\nAnswer: -171005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 3*n + n + 6*n - 5*n.\nAnswer: -n - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -59732 from 1027404.\nAnswer: 1087136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -227464 > -227465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) -8\/147 (c) -4 (d) 1\/7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, v: 1, i: 7, e: 1, f: 2}. Give prob of sequence ii.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**6\/120 - b**5\/12 - 5*b**4\/24 - b**3 + b**2. Let k be (-2)\/(((-8)\/3)\/1)*8. What is r(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8235\/(-610))\/((-2)\/4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5507*o - 3788*o - 3301*o as g*o + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 14, 0, -1\/7, 48, -0.4 in descending order.\nAnswer: 48, 14, 4, 0, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + ((sqrt(891) - sqrt(891)*-1)**2 - (2 + sqrt(176))).\nAnswer: -4*sqrt(11) + 3566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 12*s - 64. Let j be w(-4). Solve 16*a - 26 - 38 = j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -545a (base 15) in base 12?\nAnswer: -a404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**3 + 2*a**3 + a**3 + (2 - 10*a - 6*a + 7*a)*(3*a - a - a)*(-27*a - 10*a + 16*a).\nAnswer: 185*a**3 - 42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1535, 1445, 1297, 1091, 827?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 24 = -2*y, -4*y - 2*i - 7 + 31 = 0. Let r be 6\/y - (-642)\/12. What is the greatest common factor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, -153 in descending order.\nAnswer: 2, 0, -2, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -127, -207, -289?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 - 24420662129.\nAnswer: -24420662105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1219284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3660\/24)\/(-61)*(2\/(-5))\/((-4)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 2\/7 (c) -1\/4 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 15*l**2 + 35*l + 34. Let k be v(-17). Which is the closest to -1? (a) 1 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397217 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 7*b - 6. Let d be x(-4). Suppose -d*s - k = -s - 15, -5*k = 2*s - 29. Suppose -4*i - s = -42. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + b**2 + 4. Let n be t(4). Suppose 2*i - 5*l + 19 = -14, 0 = 3*i + 2*l + 78. Let h = i - n. Calculate the greatest common factor of h and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9961*n + 5 - 41 + 72 - 36 in the form l*n + o and give l.\nAnswer: 9961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 161 - -683b?\nAnswer: 699c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 28160372?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 481?\nAnswer: 121212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4*sqrt(1008))**2 + 1)*2.\nAnswer: 32250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from uwmlmlhwmmlmmlu?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4302704697?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**5 - 1435588*r**4 + 4306716*r**3 + 4306772*r**2 - 15791360*r + 8613456 = 0. What is r?\nAnswer: -2, 1, 3, 358894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -373.77032 to the nearest 10.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4414 - 4414 + 10*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**2\/2 - 15. Suppose 0 = 9*d - 4*d. What is s(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4550 + -2167. Let a = m + -1229. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2149*y - 2135*y + 42 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -10 and -0.067.\nAnswer: -10.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**2 + 2*o**2 + 11*o**2.\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**3 - 43*x**2 - 523*x + 1660. Give l(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 - 1.146682199\nAnswer: -1.306682199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8520840, 8520838, 8520836?\nAnswer: 8520834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 - 7\/((-42)\/150) and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 315\/802 or 0?\nAnswer: 315\/802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(32)*1)*4.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 134?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r - 31. Let x be q(-9). Which is the nearest to -0.8? (a) x (b) -2\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101474.\nAnswer: 2, 3, 11, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 448, 1035, 1864, 2935, 4248?\nAnswer: 5803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5.1. Suppose -4 = 5*h - 6*h. Which is the closest to f? (a) h (b) -5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*p + 2*p - 226239 = 0, -n = p - 226260. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 1 - 935\/95\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219122.4 weeks to seconds.\nAnswer: 132525227520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 19*v**3 + 43*v**2 + 18*v - 67. Let j be (4 - 2 - (16 - 2)) + -1. Let d(c) = 9*c**3 + 21*c**2 + 9*c - 33. Let s(u) = j*d(u) + 6*b(u). Factor s(a).\nAnswer: -3*(a - 1)*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1472.\nAnswer: -1\/736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -4*p - 85. Sort 3, p, -2 in descending order.\nAnswer: 3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12*(-16)\/336)\/((-4)\/(-14)). Let t = -10 + 15. Solve 11 = c - 4*a, -c - m = t*a + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -40612, -74807, -108990, -143155, -177296, -211407, -245482?\n\"Answer: m**3 - 34202*m - 6411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*w - 3, -2*z = -4*w + w - 3. Let m be 2 + (26\/(-13))\/(2\/8). Let y be (-1)\/(-3)*w\/m*24. Is 5 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1109981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8569091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2892868702?\nAnswer: 2, 6043, 239357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 65829, 263288, 592383, 1053114?\n\"Answer: 65818*f**2 + 5*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159114350 or 159114353?\nAnswer: 159114350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1500 times -2.18616\nAnswer: 3279.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gghdwkm. Give prob of sequence gwm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -240, -366, -446?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 135*r**3 + r + 1. Let j be t(-1). Let u = 176 + j. What is the highest common divisor of 82 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37022, 73986, 110960, 147950, 184962, 222002?\n\"Answer: f**3 - f**2 + 36960*f + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1348796439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o**4\/7 - 502*o**3\/7 + 18*o**2 = 0. What is o?\nAnswer: -63, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -66 in decreasing order.\nAnswer: 4, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwhh when four letters picked without replacement from ehhehwwwwhehh.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351) + (sqrt(351) - -1*sqrt(351)*-1) + sqrt(351) + sqrt(351))\/(sqrt(12)\/(sqrt(4) + sqrt(20)\/sqrt(5)) - (2*sqrt(300) - sqrt(300) - sqrt(300))).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v + 1. Let q(k) = -5*k - 1. What is q(j) + 4*z(j)?\nAnswer: -29*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*45\/((-13860)\/(-56))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/5 - 30*r**2 + 157*r\/5 + 906\/5 = 0. Calculate r.\nAnswer: -151, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 - 45*v + 3. Let w be d(-15). Factor 12*a**4 - 58*a**w + 30*a**3 - 8*a - 12*a**2 + 4*a**5 + 32*a**3.\nAnswer: 4*a*(a - 1)*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -23. Suppose -g - i + 12 = -3*r, -5*r - 4*g = 15. Which is the second biggest value? (a) 2 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4530890 - -22?\nAnswer: 4530912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:02 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -353. What is the remainder when x is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u)\/u**(-3))**27 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejeejejjjjjjje. Give prob of sequence ee.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 8. Let r(g) = -4*g + 7. Let h(w) = 5*n(w) - 4*r(w). Let s be h(-8). Suppose -5*k + 6 = -4*z, -5*k = -4*z - k - s. Which is bigger: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/33*(-618)\/(-1030)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1202400 and 552?\nAnswer: 27655200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**3 - h**2 - h - 2. What are the prime factors of b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 4.282.\nAnswer: 4.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/25 + (-18)\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2365160533 + -1?\nAnswer: 2365160532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.4244g in nanograms?\nAnswer: 66424400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (6 - (-9 - (-7 - 5))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8061?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 3, o: 2, w: 4, i: 1}. What is prob of sequence zz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**3*v**3 + 10*p**3*v**2 - p**2*v**2 - 391*v**4 - 1907*v**2 wrt v?\nAnswer: -12*p**3 - 9384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*l - 5*d, 5*l - 7*d + 9 = -4*d. Which is bigger: -20\/9 or l?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**2*x**3 + 14*t**2*x**2 + 1075462*t**2 + 61*t*x**3 - 401*t*x + 116*x**2 - 3 wrt t?\nAnswer: -4*x**3 + 28*x**2 + 2150924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5910109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 477728 * -16.\nAnswer: -7643648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57\/5 of a millennium?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5509, -11017, -16523, -22027, -27529, -33029, -38527?\n\"Answer: v**2 - 5511*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 0.2 (c) -0.2 (d) -0.19 (e) -1155\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 377 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*l - 2*l. Let b be -1*1*(3 - 5). Suppose 0 = b*y + l - 33. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**5\/50 + d**4\/5 + 4*d**3\/15 - 8*d**2\/5 - 24*d\/5 + 8481. Determine z so that f(z) = 0.\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21379.6 rounded to the nearest one hundred?\nAnswer: 21400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhhr when four letters picked without replacement from rrhihihriic?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*t**4 + 248*t**3 + 538*t**2 - 132*t.\nAnswer: 2*t*(t + 3)*(t + 11)*(9*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 11, -0.0279, -2, -5?\nAnswer: -0.0279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30206*a**2*i**3 - 6298*a**2 - 44*a*i**3 + 2*i**3 + 57*i**2 + 1 wrt i.\nAnswer: 181236*a**2 - 264*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1379.5 - 1379. Let z = 0.3 - -0.7. Let v = z - 0.8. Which is the closest to -1? (a) v (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*p**2*w**4*x - 110*p**2*w**2*x + 59*p**2*w**2 + 3*p*w**2 + 2512*w**4 - 2 wrt w?\nAnswer: 1344*p**2*w*x + 60288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4\/(-12)*-16)\/(8\/132)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + q. Let u(j) = 2*j**3 + 2*j**2 - 5*j - 1. Let k(x) = u(x) + 4*v(x). Does 3 divide k(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526790 is divided by 10071.\nAnswer: 3098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -3) + -15 - 0. Suppose -11 = v - 30. Let c = v + p. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 12 + 4 = 0. Let d be (-5)\/(-20) - (-2)\/f. Solve d = -i - 0*i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(sqrt(275) + 0).\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 493*r**3\/4 + 20749*r**2\/4 + 219219*r\/4 + 18963\/4 = 0.\nAnswer: -21, -43\/493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -14*t. Let g(k) = k**2 + 5*k + 5. Let i = 18 - 17. Let o(q) = q + 1. Let u(x) = i*g(x) - 5*o(x). What is n(u(b))?\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15*y**2 - 16*y. Let i(g) = 15*g - 437. Determine i(l(n)).\nAnswer: 225*n**2 - 240*n - 437","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 - 68*n + 437. Calculate t(-28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 1 + (-1488)\/(-374). Let u = g - 5216\/935. Which is smaller: -5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838 = -517*i + 196 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 25*j**2 - 2*j - 3 + 31*j**2 - 59*j**2. Let v(a) be the third derivative of -a**5\/60 - a**4\/24 - a**3\/6 + 113*a**2 + 2. What is 2*o(i) - 5*v(i)?\nAnswer: -i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -19. Let r be (-2 + 12)*p\/8. Let d = r + 62. Solve -2*s - 3*s + d = -3*h, s = -5*h - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-15 - -17) - -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 31. What is the greatest common divisor of u and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3522897 to the nearest integer?\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + t = -8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1020919*h**4 + 479*h**3*v - 86294187*h*v + 2*h + 2*v wrt h?\nAnswer: 12251028*h**2 + 2874*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + 6*c**3 - 33*c**2 + 6*c**2 + 27*c**2.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 + 0.6. Let x = -0.24 - -0.14. Let w = -4 - -7. Which is the nearest to x? (a) p (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 2*x**2 + x - 3. Suppose -5*n = -3*f + 7*f - 32, 0 = -5*f - 5*n + 35. Calculate o(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1756 - 3*v**2 + 1756 + 20*v.\nAnswer: -3*v**2 + 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b + 6*b**3 + 0 - 11*b**3 + 3*b**3 - 4*b**2 + 2 + 0*b**3. Let x(o) = -2*o**3 - 3*o**2 - 3*o + 2. Determine 3*v(f) - 4*x(f).\nAnswer: 2*f**3 + 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + f = -f + 98, -f = -5*r + 140. Let s be (-6)\/r - (-110)\/(-126). Let w = s + 3\/7. Sort -0.2, 2, w in decreasing order.\nAnswer: 2, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**5\/35 - 2*h**4\/21 - 2*h**3\/7 + 1631*h. Factor o(v).\nAnswer: 4*v*(v - 3)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10673841.\nAnswer: 3, 17, 47, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by 4834762.\nAnswer: 48\/2417381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 673079113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, 0, -80, 1568, -3\/5 in descending order.\nAnswer: 1568, 0.4, 0, -3\/5, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, h: 2, o: 1}. What is prob of picking 1 o and 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.98 + -31.\nAnswer: -31.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**4\/6 + 5*u**3\/3 - 3*u**2 - u. Suppose -246 = 170*n - 129*n. Let y be s(n). Solve -3*l + 3 = 0, 19 = 2*z - y*z - l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -2*o - 0*a + 7, 5*o - 5*a - 40 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1000)\/(-900))\/(4\/6)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 - -50609?\nAnswer: 50609.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.8 (b) 0.5 (c) 4 (d) 135 (e) 6.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**5\/10 + i**4 - 3*i**3 + 4*i**2 + 3*i - 46. Factor g(b).\nAnswer: -2*(b - 4)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 7:06 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + p - 1. Let v be m(1). Let b(x) = -x**2 - x. Let y be b(v). Let f = 0 - y. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 10, -0.2, 3.\nAnswer: -0.2, 0.2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2682*z - 886*z - 896*z - 894*z - 94 to the form v*z + y and give y.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**3*v**2*w**3 + 240*j**3*v*w**3 - 5*j**3 + v**2*w**2 + 8*v**2*w + 10 wrt w?\nAnswer: 6*j**3*v**2 + 1440*j**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 18 + (5 - 6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 7*j**2 + 2*j + 23. Let y be x(-7). Suppose y*q + 28 = l + 4*q, -5*l = 3*q. Solve -6*u = -2*u + l*h - 15, h - 5 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22400 divided by 640\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*z - 1890*z**4 + 2008*z**4 - 19*z)*(3 - 2 - 2)*(-1 + 2 + 1).\nAnswer: -236*z**4 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 + 31*v**2 - 14*v - 4. Let y be k(15). Solve y - 2 = -3*l - 4*u, 4*l - 2*u = 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -10, -32, 4, 0.4.\nAnswer: -32, -10, -0.5, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 305275 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*l + 45*l + 0*l - 218*l.\nAnswer: -415*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 b, and 1 h when three letters picked without replacement from zbzfzpfuubuzzhf?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.13256 or -1\/26?\nAnswer: -0.13256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*h + 5*h - 7, -2*o - 10 = -2*h. Let y = h + 0. Suppose 5*u = -3*q + 187, -y*u = -0*u + 3*q - 111. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -22121022001?\nAnswer: -22121022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 11. Let w be s(-8). Let j be (-1)\/(1 + (-2 - -2)). Put w, 1, j in ascending order.\nAnswer: w, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -3, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 17 (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 915240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 4?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f - 7. Let p be r(-3). Let l be (-44)\/6*(-12)\/p. Let z = 16 - l. Solve h = -2*v - 3, -z = 3*v - 2*v + 4*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**2 + 32*r + 128. Let u be 1\/(-1)*(-3 - -5). Let g(y) = -3*y**2 - 16*y - 64. Let l(z) = u*o(z) - 5*g(z). Solve l(f) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1683671 is divided by 372?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -45 + 2 + 0 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + (-49 - -11) - 44.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -361151964 divided by 29097?\nAnswer: -12412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -331*h**5 + 35105*h**3*o + 10*h**2*o + 2*h*o - 1947*h + o - 2 wrt h.\nAnswer: -19860*h**2 + 210630*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 105.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from sqqc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 353627484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.928036803 to three dps.\nAnswer: -0.928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -667.6656 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36266b (base 12) to base 3.\nAnswer: -1122110201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2\/5 (b) 1\/5 (c) -0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - m + 0*m)*(m - 2*m + 7*m + (0*m + 0*m + m)*(1 + 0 + 0)).\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 115 * 842\nAnswer: 96830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d + 5*d + 4*d - 17*d. Let s(b) = -41*b. Give o(s(x)).\nAnswer: 41*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 7:53 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15738 + 15744. Solve 0 = -38*t + a*t - 96 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 130, 245, 346, 427, 482, 505, 490?\n\"Answer: -i**3 - i**2 + 125*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-48)\/(-20))\/((-6)\/(-20)). Let b(r) = r**3 + 3*r - 3. Let h(o) = -3*o**3 - 8*o + 8. What is k*b(z) + 3*h(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 - 5 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171936 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10330 + 1210121301?\nAnswer: 1210110311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - -77137 - (-1 - (3 + -1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, g: 4, k: 1}. Give prob of picking 2 g.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -1\/2*v**3 + 11*v + 3\/2*v**2 + 0 + 1\/6*v**4. List the prime factors of c(5).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 55*x**4 - 19825*x**3 + 1630315*x**2 - 38501055*x - 21488850 = 0.\nAnswer: -6\/11, 53, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 4*h**2 + 3. Let p be j(-4). Let q = 195 - 191. Suppose 165 = 5*g - 5*k, -2*k = 4*g + q - 136. What is the greatest common factor of p and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(3*(sqrt(891) + 4 + sqrt(891)) - sqrt(891) - 4*(sqrt(11) + 1*(sqrt(11) - (sqrt(11) - (sqrt(11) + -4)))))**2.\nAnswer: 51800*sqrt(11) + 396075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 5*r**2. Let x be h(-5). Let c(m) be the second derivative of 1\/3*m**4 - m + m**2 + 1\/20*m**5 + x + 5\/6*m**3. Determine u, given that c(u) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*p + 70*p + 88*p = -78*p - 11931 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0005 + -0.0005. What is the nearest to 0.1 in h, 2, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-91)\/(-2) + (-2)\/(-4). Suppose -18 = 2*x - o. Suppose 2*r + 3 - 5 = 3*l, -x = -4*r + l. Solve -r*s - 21 = -9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 48. Let m(a) = -3 - 18*a + 4*a + 11*a + w. Calculate m(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 741*l - 1656 + 14994 = 0 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/5)\/(420\/3780)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 804\/42 + 1\/(-7). Let a = q + -11. Suppose a*t = 4*t - 16, 0 = l - 5*t - 27. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 14*o**2 - 14*o + 12. What is n(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1344 by -4.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-8))\/((-44)\/1540)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 15) in base 16?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 13. Let m(u) = -u + 13. Let f be 48\/(-40)*(-2)\/8*-10. Let j(n) = f*d(n) + 4*m(n). Determine j(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(70) - -2*(-2*sqrt(70) + sqrt(70) + sqrt(70))))\/(sqrt(50)\/sqrt(80) + -6*sqrt(160)) + 1)*6.\nAnswer: -24*sqrt(7)\/19 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5155 is divided by 1011?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0197, 1, -1\/2?\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/4 + 219*u**2\/4 - 3885*u\/4 - 4107\/4.\nAnswer: -3*(u - 37)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.43 - -3.57. Let k = 2 - 1.94. What is the third smallest value in -2\/5, 6, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 361, 22, -0.3, -0.1 in decreasing order.\nAnswer: 361, 22, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = -6*y, f - y + 14 = 15. Factor 11\/4*x**2 + 1 + 3*x + 3\/4*x**f.\nAnswer: (x + 1)*(x + 2)*(3*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 145*c**2 - 362*c + 31540. Calculate m(146).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122498 * 0.1.\nAnswer: 12249.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 3. Let i = w + 7.8. Let z = i - 1.8. Are -5 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/5 - 39*w**3\/5 + 141*w**2\/5 - 21*w.\nAnswer: 3*w*(w - 7)*(w - 5)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1528.6 - 1529. Which is the second smallest value? (a) 0.1 (b) 7.8 (c) -2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22389773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*j + 3*j = -6*j - 1597367. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5982 and 264.\nAnswer: 263208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 + 9*v**2 - 5*v**2)*(0*v - 6*v - 12*v + 5*v).\nAnswer: -104*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/6941 and -11\/4417?\nAnswer: 48587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26229243?\nAnswer: 3, 47, 186023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3 + 435*w**2 + 0*w**3 - 114*w - 434*w**2 + 16*w + 176 = 0 for w.\nAnswer: -8, 2, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 - (9922 + -9988).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, -2, -20, -44, -68?\n\"Answer: s**3 - 12*s**2 + 23*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**6\/1080 - x**3\/2 - 2*x. Let j(k) be the second derivative of v(k). Factor j(t).\nAnswer: t**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 3\/9*0 - -29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 + -0.006. What is u rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 1\/5 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*y**4*z**2 + 2*y**4 - 3*y**3 + y**2*z**2 - 37*y**2 wrt y.\nAnswer: 96*y*z**2 + 48*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 4)*(6*b**2 - 2*b**2 - b**2) - b**2 - 5*b + 3*b + b as o*b + g + u*b**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 53.4 from 3685017.\nAnswer: 3684963.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/924 and -41\/28?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-68)\/12 - (-9 + 10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 22. Let d be z(15). Suppose d = r + 1. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 864481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 6, 4*d - 2 - 9 = -3*x. Suppose 0 = -d*m + v + 401 - 149, -2*m = -5*v - 87. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2. Let i be f(-2). Let m(j) = -j**2 + 7*j - 6. Suppose -9 = 4*s - 33. Let x be m(s). Solve x*z + 20 = -i*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2481*n - 578*n + 77*n as j*n + b and give j.\nAnswer: -2982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -91, -161, -251, -367, -515, -701?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 4:33 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 840 + -323. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -8*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 - ((-5 - -1) + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 52. Let m = u - 37. Let g = m + 42. Which is smaller: -2\/7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(sqrt(242) + 1)*6 + 5 + -3 + -2 + -4)**2.\nAnswer: 34848*sqrt(2) + 315568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 146 + -146 + -2 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -322 - -185. Let h(y) = 26*y**3 - y**2 - 13*y + 25. Let u be h(2). Let r = u + b. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3080 + -2976. What is the least common multiple of l and 156?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*a**3 - 2*a**2 + 10115*a wrt a?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -48884+-1987\nAnswer: -50871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {m: 4, k: 7, o: 5, h: 1, b: 1, n: 2}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 + 168 - 168 - 3*j**2 - j. Let t(q) = 5*q**2 - 4*q. Let x(h) = -h**2 + 4*h - 1. Let d be x(2). Give d*v(y) - t(y).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 437, 1766 in increasing order.\nAnswer: 7, 437, 1766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1629, -1678, -1759, -1872, -2017?\nAnswer: -2194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30600430 divided by 35?\nAnswer: 874298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -15497291.47 to the nearest one hundred thousand.\nAnswer: -15500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3577?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 33*l + 90.\nAnswer: 3*(l - 6)*(l - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - c + 15, 6*h - 8*h + 3*c + 23 = 0. Solve -h*k = 4*x, 2*k - 6 = 4*x - 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h**3 + 22*h**2 - h - 4. Suppose -k = 8*k - 369. What is the remainder when k is divided by q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 29. Let a = i - -5. What is the nearest to -2 in 0.5, 2, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1099923?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -33*b. Let s be m(-5). Let c = s - 90. Suppose 13 = 3*f - 2*j - 37, 5*f - 5*j - c = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -359, -751, -1193, -1703, -2299?\n\"Answer: -3*v**3 - 7*v**2 - 350*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 z when four letters picked without replacement from {q: 3, z: 5, h: 1, d: 1, c: 4}.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19375060742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 2*v - 2. Let o(l) = l**3 + 7*l**2 + 2*l + 12. Calculate the remainder when o(-6) is divided by r(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 x, and 1 y when four letters picked without replacement from yaahayxyxhyyuuyyyaah?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 - 20 = 5*x - h, 0 = -x - 4*h + 32. Calculate the greatest common divisor of 70 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 0*h**3 - h**3 + (41 - 41 - 35*h**2)*(-2*h + 0*h + 3*h).\nAnswer: -37*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 196945 = -196910 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 9*m - 4. Let w = -7 - -14. Let n(g) = -8*g + 4. Let k(r) = w*n(r) + 6*s(r). What is the tens digit of k(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**4 - 1200*o**3 - 11692*o**2 - 26736*o - 16240 = 0.\nAnswer: -290, -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.15 - 2.85. Sort t, -0.5, 3 in increasing order.\nAnswer: t, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -131 + 10*f + 133 + 24*f as w + z*f and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2153*v - 2617 wrt v.\nAnswer: -2153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/11, 48 in ascending order.\nAnswer: -4, -2\/11, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*x)*((-2 - 2 + 3)*(-42 + 10 + 13) - 2 - 2 + 5) in the form j + k*x and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5842379\/955535 - 1\/27301. Let d = u + 11\/35. What is the common denominator of 111\/(-24) - (1 - 0) and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i + 0)*(5 - 114*i**2 + 77*i**2 + 33*i**2 + i).\nAnswer: -4*i**3 + i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 124340916 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*c - 43, -2*v + 25 = 3*v + c. Suppose 4*g = v - 2. Solve 2*r + g + 7 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 316*h**2 - 4*h + 27. Let n(g) = -949*g**2 + 12*g - 80. Let m(u) = -11*l(u) - 4*n(u). Find the second derivative of m(i) wrt i.\nAnswer: 640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 15 = 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 24 - 18. Calculate the remainder when 889\/9 + z\/27 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -524120 to the nearest one thousand.\nAnswer: -524000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -12806628.26 to the nearest 10000.\nAnswer: -12810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 503100 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 578*r + 554*r - 48676 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656485?\nAnswer: 5, 131297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/2, -11, 0.10323, -5.\nAnswer: -11, -5, -1\/2, 0.1, 0.10323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 3*h**2 + 2*h - 2. Let y be d(3). Let n(x) = -x**3 + 4*x**2 + 2*x + 4. What is the remainder when 35 is divided by n(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**3 + 22*q**2 + 6*q - 10. Let g(t) = -7*t**3 + 24*t**2 + 9*t - 12. Let r(y) = -4*g(y) + 5*o(y). Determine r(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431*k + 444*k - 62472 - 476053 = 0. List the prime factors of k.\nAnswer: 5, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 852 + 396. What is the units digit of (-4)\/14 - c\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -41.1927412 and 464.5.\nAnswer: 423.3072588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 8 = 0. Suppose p = -0*p + i. Suppose -3*k + 7 - 1 = 0, 4*x + 2*k - 20 = 0. Sort -4, x, p in ascending order.\nAnswer: -4, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b73 (base 12) in base 2?\nAnswer: 110101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7\/8, -1\/2300, 4, -5?\nAnswer: -1\/2300","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 8 = -2*m + 4*z, 0 = 3*m - z - 8. Suppose 0 = -s + 3, -1106 = -4*b + 6*s - m*s. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -608312.5969999 + 608337.597. Let q = c - 25. What is q rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6650*b**3 + 1910*b**3 - 8628*b**3.\nAnswer: -13368*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 71028.5817 to the nearest 100.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 889585 to the power of 1\/2, to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5252, 21014, 47288, 84080, 131396, 189242, 257624?\n\"Answer: m**3 + 5250*m**2 + 5*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 160*q - 157*q + 13, -5*q = -4*w - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232668095 and 7755.\nAnswer: 2585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*z + 2*g, 2*z + 238296*g + 15 = 238291*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/2 + (155 - -5) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - -4?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13622 + -13602. Solve -7*s - a = 13*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2646 is divided by 438.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*l - 6, 0 = 5*l + 3*f + f + 8. What is x in l - 7*x**2 - 2*x + 1 + 0*x - 4*x**3 = 0?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040183 rounded to 6 decimal places?\nAnswer: 0.000402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133)\/14 - -4 - -6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1240, -4945, -11120, -19765, -30880, -44465, -60520?\n\"Answer: -1235*q**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 9. Let s be v(-4). Let n(r) = r**2 - 82*r + 1196. Let x be n(19). Put x, s, -139 in descending order.\nAnswer: s, x, -139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29531840 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 35251 (base 7) to base 13\nAnswer: 4174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by -107999.\nAnswer: 59\/107999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/35 and 16\/9715?\nAnswer: 68005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -0.0417 (c) 0.1 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31582.66754 + 0.33246. Let y = i - 31583.0290098. Let m = y + 0.029. What is m rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(13) + sqrt(13) + (sqrt(1300) + 2 - sqrt(1300)))*1)**2.\nAnswer: 8*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-12))\/((-6)\/8 - -3). Is -37 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*l**4 - 4 + 7*l**4 + 3 + 684788*l - 684791*l - l**3 + l**2 in the form c*l + r*l**3 + m*l**4 + s*l**2 + n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -161, 1, 1\/7, 0.243, 2\/9, -1\/4 in descending order.\nAnswer: 1, 0.243, 2\/9, 1\/7, -1\/4, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 100. Is x(-29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8800*z + 8759*z - 17561*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/(2 - (-68)\/(-10)) and -99\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-356)\/2136)\/(((-1)\/12)\/(10\/(-4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -109.3 and -3229.7.\nAnswer: 353006.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.692 rounded to one dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -3, 0.5, -0.4 in descending order.\nAnswer: 0.5, 0.09, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, 6, -0.5 in descending order.\nAnswer: 6, -0.5, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(88) - 1*sqrt(88)*1)\/((sqrt(8) - sqrt(72))*-6) - -3*((sqrt(99)\/sqrt(3))\/sqrt(3) + sqrt(1584)*-2))**2.\nAnswer: 52371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**7\/1260 - z**6\/1440 - z**5\/80 + 11*z**4\/24 - 23*z**2. Let x(g) be the second derivative of b(g). Factor x(p).\nAnswer: (p - 1)*(4*p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cacaczazdczizcw. What is prob of picking 1 z, 1 w, and 1 a?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33444268 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38.6919189 + 64.6919102. Let k = i - 26. What is k rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3521 - 679. What are the prime factors of g?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5080 + -236452558.\nAnswer: -236457638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*d**3)*(-28 - d + 26 + 30) to the form a*d**4 + z*d + u*d**3 + b + i*d**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 4*a - a**2)*(3 - 3 + 11*a**2) + (-a**3 + 2*a**3 - 3*a**3)*(-4*a + 3*a + 2*a).\nAnswer: -13*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -35*x - 10. Let b be a(-2). What is the greatest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -64165?\nAnswer: 64142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5455 + -25f?\nAnswer: -56b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -43. Let s = 69 - z. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15728346?\nAnswer: 2, 3, 31, 71, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 223543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008369 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6*3 + -481168. Let z = l - -55195. Let q = z - -103971. Round q to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2075 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -27*m**2 + 826*m - 11. Calculate u(32).\nAnswer: -1227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -0*x - 0 + 6, -2*x + 1008 - 1002 = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 11*u + 152. Give n(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 918 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5435 - 12?\nAnswer: 5423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.31, -2\/5, 6, -2\/3, 6.04, -3, 58?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 29*v**3 + 2*v**2 - v. Let f(i) = 29*i**3 + 3*i**2 - i. Determine -2*f(p) + 3*s(p).\nAnswer: 29*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20043 (base 11) in base 13?\nAnswer: 10471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -10. Is c less than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43.78 + 43.93. Which is the nearest to -3? (a) 0.7 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 257 - 257. Suppose t*r - 1431 = -9*r. Calculate the remainder when r is divided by 57.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.9. Let y be (-5 - -6)*(-2)\/4. Which is greater: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66674.5nm in kilometers?\nAnswer: 0.0000000666745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108242 (base 11) in base 8?\nAnswer: 7323774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 6:47 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -269, -4, -2, -5 in ascending order.\nAnswer: -269, -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 306 = 13*m - 15 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 5*m + 3. Let i = 153 - 153. Let o be j(i). Factor -1\/9*h**4 + 8\/9*h**o + 0*h + 0 - 7\/9*h**2.\nAnswer: -h**2*(h - 7)*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*q + q - 24. Let l be 0 + -1 + 4\/3. Let i = -2 - -2.2. Put q, l, i in increasing order.\nAnswer: i, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -36 - 7. List the prime factors of z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-1 + 1 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-128))\/(2*1*6\/(96\/4))?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88*q**5 - 108*q**2 wrt q.\nAnswer: -5280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*i - 26 + 16 + 10 + 1005*i to u + w*i and give w.\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20286 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 42\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 68544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/12 - 279\/(-186)) + 28\/(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*q - 211*q = -15594 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 30. Let y be t(-13). Suppose -4 - 4 = -y*l. Let c = -142\/3 + 48. Which is greater: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 4. Let n(o) = -4*o**2 - 2*o - 2. Let m(z) = -z**2. Suppose -3 = -g, 0*g + 11 = 5*v + 2*g. Calculate q*m(d) + v*n(d).\nAnswer: 2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 2. Let h(c) = -c + 1. Let x be h(5). What is f(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1615*v**3 - 356?\nAnswer: 4845*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3 + 1353*j**2 + 17*j + 155 wrt j.\nAnswer: 12*j + 2706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257392 = -12*g + 1001092. Let z = g + -29838. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/3 - 74*j\/3 + 208 = 0.\nAnswer: 13, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**2\/2 - 11. Let y(h) = 17*h - 4. Let k(x) = 221*x - 51. Let o(m) = -4*k(m) + 51*y(m). Determine u(o(n)).\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -699 - -702. Solve 2*u - n = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2040)\/75)\/((-4)\/(-10)). Is m at least -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 193 - 183 = 0. Round x to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z - 1. Let s be k(-3). Let x(l) = -l - 2. Is 5 a factor of x(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a - 3. Suppose 5 = v - 0. Let t(d) = 42*d + 9. Let i(k) = 5*k + 1. Let l(s) = -8*i(s) + t(s). Determine v*l(c) + 2*f(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 3*d + 2*d. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*f - 14 - 10)*(-1 + 0*f - f - f).\nAnswer: -4*f**2 + 40*f + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15335 = 3*b + 3*q + 16891, -21482 = 2*b + 3*q. Let i = b + 64609\/6. Find the common denominator of i and -17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044782 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - l + 1. Let g be d(0). Let z(q) = -6 + 3 + 3 + g. Let a(s) = -7 + 7*s + 12 - 6*s. What is -a(m) + 5*z(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -65133.67?\nAnswer: -5210.6936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12465 divide 4124506455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24709505 is divided by 3076?\nAnswer: 3073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2742?\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23632597, 47265194, 70897791, 94530388, 118162985?\n\"Answer: 23632597*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.19 - 0.6. Let n = -0.09 + f. What is the smallest value in -5, 1\/4, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 132*h**3 + 384*h**2 + 380*h + 126.\nAnswer: 2*(h + 1)**3*(h + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 380 = -16*w. Let y be 48\/(-72) + w\/(-6). What is the highest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1403, 43\/7, -14, -1\/7 in decreasing order.\nAnswer: 1403, 43\/7, -1\/7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + r**4 - r**2 + (-2 + 0 + 4)*(-r + r + 2*r**4) + 79 + r**3 - 4*r**4 - 79.\nAnswer: r**4 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0502 (b) 0.02 (c) -1.12 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*p + 17*p - 4. Let j(g) = -g**3 - 5*g**2 + 7*g + 7. Let m be j(-6). Is p greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 357 + -1130\/3. Let r = d - -19. Let v = 0.08 - 0.38. Which is the second biggest value? (a) r (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*o**2*v**3 + 29*o**2*v**2 - 24*o**2 - 10*o*v**3 + 3*o*v**2 - v**3 - 26*v**2 - 4*v wrt o?\nAnswer: -42*v**3 + 58*v**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -345300*h**4 - 2*h - 14342 wrt h.\nAnswer: -4143600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 52*z**2 - 56*z + 158. Give v(53).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-7))\/3)\/((-440)\/12320)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6066)\/1685)\/((-4)\/(-30)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4982\/7 + 712. Let o be ((-2)\/(-3))\/(-1 + 0). Which is the nearest to 2? (a) t (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 62.3. Let d = s - -4.3. Let l = -1.2 - -0.2. What is the third smallest value in d, -0.2, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 9. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 90704, 90699, 90694?\n\"Answer: -5*h + 90709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 8*c + 0 - 2\/9*c**2 - 8*c**3 + 2\/9*c**4 = 0.\nAnswer: -1, 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -916 - -918. Put u, -14, -3 in ascending order.\nAnswer: -14, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/28)\/((-13)\/(-91)) + 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-70)*6\/9*54\/(-36)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - p**2 + p**2 - p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -84710 and -3.\nAnswer: -84713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = -w. Suppose 3*n = -v + 383, 2*v - 150 - 100 = -w*n. Suppose 5*y = n + 296. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 74 = 5*f. Suppose w = -20 - f. Let z = w - -148. What are the prime factors of z?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3168 divide 357553152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133 - -199) + -53 + 59?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5*u + 31 = 0, 63*s + 6*s - 6 - 3 = 5*u + 30 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 t, and 1 d when three letters picked without replacement from todxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -341543?\nAnswer: -341534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 5*h - 1. Let k be z(-6). Suppose -3*s + 11 = k. What is the remainder when s is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9325 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1031 - -1033. What is the fourth smallest value in -148, w, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.66.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*s - 3. Let y(f) = f**2 + f. Let h(x) = -5*x**2 - 4*x + 51. Let q(k) = s*h(k) + 4*y(k). Let o(t) = -t**2. Calculate q(o(r)).\nAnswer: -r**4 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 148*y**3 + 9*y**2 - 12*y - 1. Let g be f(7). Suppose -4*v + 5*d = -40909, 11*v - 3*d - g = 6*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2861857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x**3 + 3. Suppose -5*t + 16 = -t. Suppose 0 - t = 4*k. Let m(w) = w**3 + 1. Let z(p) = k*u(p) + 4*m(p). Find the first derivative of z(q) wrt q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87\/5 - -18. Let b = 29 - 28. What is the closest to b in -1\/6, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - h - 24 + 91 + 3, 3*q - h = 6 + 36 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-2\/53)))**(-11))**(-24\/13) assuming n is positive.\nAnswer: n**(528\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -31 (b) 0.5 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 27 - 30 - 2*y)*(-4*y**2 - 3*y**2 + 6*y**2) in the form c + z*y**2 + w*y + k*y**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 1:22 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/20)\/((-1)\/10). Let o(x) = -x**3 - 2*x**2 + x - 3. Is o(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2\/3))**(-7))**(-5))**(-2) assuming j is positive.\nAnswer: j**(-350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 23*k + 15. Let v be y(-23). Let j = 0 - -5. Calculate the greatest common divisor of j and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2, 1, 2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*t**3 + 46*t**3 - 360 - 2655*t + 50*t**2 - 5*t**5 + 2355*t.\nAnswer: -5*(t - 3)**2*(t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*q**3 - 31*q**3 - 703 + 721.\nAnswer: -2*q**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 5, l: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950*q + 379*q - 526*q - 29838 = -930 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 3*s**2 + 3*s**2 + (2 + 0 - 4)*(13*s**2 - 2*s**2 + 12*s**2) - 18*s**2 + 32 - 128*s**2 - 32 - 213*s**2 to the form o*s + b + v*s**2 and give v.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -1010, -2285, -4070?\nAnswer: -6365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61936 and 256592?\nAnswer: 1796144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.9 + 25.88. Which is the third smallest value? (a) -8 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*s = 2, -s - 4 = -2*d - 0. Suppose 4*b = 20, 35 = 5*h + 5*b - 4*b. Let n(g) = 0*g**2 - h*g**2 + 4*g**d. Let c(l) = l**2. What is c(n(o))?\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -88, -1, 0.3, 2, 0.2, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2363741.\nAnswer: 2363741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 4:02 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74.26037 - -74.2. Let b = 0.058 + w. What is b rounded to 4 dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646468149?\nAnswer: 3, 43, 5011381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130815 and 36500445?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3 + (-6 + 4 + 1)*(2 - 2 + 2) + (-5 - 1 + 4)*(0 + 1 + 1))*(0*o + 0*o + 2*o).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*(sqrt(135)*-2)\/sqrt(5))**2 - (-2 + sqrt(675) + -5 + -1 + sqrt(675) + sqrt(675)*2).\nAnswer: -1720 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3719 + -3714. Solve -3*v = -r*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 258 = -21. Let d = b + 76. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/3 + -32\/15. Which is the nearest to i? (a) -5 (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273.46962 months to millennia.\nAnswer: 0.022789135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185347493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {f: 1, h: 1, k: 3, o: 10, a: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 10*a**2. Let o be h(-10). Suppose 0*f = 3*j + f - 92, o = 3*j + 3*f - 90. Let l(y) = -31*y + j*y + 7*y**2. Let u(s) = 3*s. Give l(u(z)).\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16685851 divided by 2.\nAnswer: 16685851\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 121798078?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2086\/4*(-4)\/(11 - 12). Suppose 5*t = -5*h + 5240, -7*h + v = 2*t - 3*h. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tttjjjjjjt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -86800000 to the nearest one million.\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 + 1576?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6188 - 6186.06. Let x = 13.5 - 4. Let y = x - t. Round y to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = 73*v - 6191 - 2634. What is the greatest common divisor of v and 910?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-16))\/((-15)\/6)*-35. Let u be l\/(-3) + -9 + 10. Solve -3*z + u*z = -5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, f: 2, r: 4, n: 1}. What is prob of sequence fkrf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14\/15 (b) 0 (c) 0.054\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/15)\/u)\/u*u**19 assuming u is positive.\nAnswer: u**(268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 71 = 2*q. Let n = q - -30. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*x + (5*x - 4*x - 2*x)*(2990 - 4160 + 2237))*((-3 - 2 + 3)*(-3*x + 0*x + 4*x) + 0 + 0 - x).\nAnswer: 3210*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -2*m**3\/27 - 3*m**2 - 100*m\/9 + 694. Factor n(c).\nAnswer: -2*(c + 2)*(c + 25)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(4*u + 2 - 2)*(-1 + 0 + 2).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31\/35 - 3\/5. Let d = -0.03 - -8.03. Let y = d + -7.5. What is the third biggest value in y, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/2010)\/(1\/5). Suppose -2*p - 3*p + 90 = 0. Suppose 5*i + 23 - p = 0. Which is greater: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.350003333 - 3.35. Round o to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {o: 2, z: 1, y: 1, l: 2, i: 2, v: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0655063t to milligrams.\nAnswer: 65506300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (0 - -4)\/(28\/133). Is (-564)\/s*2373\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5484 + 3?\nAnswer: -5481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 83034150713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2084449, 2084440, 2084431?\n\"Answer: -9*s + 2084458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5232 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*b = 0, -b = -4*s - 0*b. Let h = 24 + -38. Let r be (2\/5)\/(h\/(-10)). Is r less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-1\/4)*w)\/w)**(-2\/53)*(w**(-1\/4))**(19\/2)*(w\/(w**(2\/5)\/w)*w\/(w\/(w\/(w*w\/w**(2\/33)))))**(-42) assuming w is positive.\nAnswer: w**(-703949\/23320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 275, 518, 761, 1004, 1247, 1490?\n\"Answer: 243*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 511616 and 4.\nAnswer: 511620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l = -2, -4*t - 3*l + 49 = 0. Let i = t + -13. Solve i = m + m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 1. Let o be ((-278)\/(-6))\/((-10)\/6). Let u = o - -28. Sort u, t, 1 in decreasing order.\nAnswer: 1, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**6\/12 - 5*b**4\/8 - b**3 - 3358*b**2. Let r(p) = -2*p**3 - 3*p - 1. What is -2*a(d) + 11*r(d)?\nAnswer: -2*d**3 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**2*v**5 + 10336*i**2*v**2 - 20*i**2*v - 85586*v**6 wrt v?\nAnswer: -240*i**2*v**2 - 10270320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/(sqrt(8)*-1) + -1 + sqrt(2) + 0)**2 - (-2 + sqrt(2) + 2)*-2)*1.\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4826 + 12898. Is 172 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 4*c**2 + 6*c - 4. Let i be n(-5). Let j = i - -18. Suppose 5*t - 38 - 47 = 0. Calculate the remainder when t is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9\/13, 2\/3 in decreasing order.\nAnswer: 2, 9\/13, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/5 - -2)\/(10410\/(-650) - -16).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 5. Let h(i) = -2*i + 6. Let f(a) = -5*h(a) + 6*m(a). Let x(b) be the third derivative of -b**5\/15 + 25*b**2. What is x(f(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -187*o**7\/7 - 85*o**3\/3 + 474. What is the third derivative of i(h) wrt h?\nAnswer: -22440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:36 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h - 183 = -3*m, 2*m + h = 123. Suppose 0 = -9*j + 5*j - 2*r + m, -4*j + 5*r + 32 = 0. Sort j, 0, 4.\nAnswer: 0, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22 - ((-46 - -11) + 18)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3119912 to 2 dps.\nAnswer: -1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 395*c + 11. Let m(p) = -394*p - 15. What is -3*m(h) - 4*o(h)?\nAnswer: -398*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 9*z + 5. Calculate u(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1940 - 1925. Let r(y) = -y + 31. Give r(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/9 - 812*z**2\/9 + 84800*z\/9 - 160000\/3.\nAnswer: 2*(z - 200)**2*(z - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4501128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1dcc5 (base 15) to base 3\nAnswer: -11221120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*p + 415 - 220. Let m(b) = b - 3. Let g be m(5). Suppose -3*i - 5 = -6*i + g*w, 4*i + 2*w - 30 = 0. Solve n - p = 3*d, -n + 4*n = -5*d - i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 44*a**3 - 7*a**2\/2 - 8. Is f(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*r - 3*x - 1 = -61*r, 0 = -5*r + 5*x + 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*r - 3*j + 5 = 63*r, 3*r + 2*j = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -459 - -460. Let j(f) = -2*f + 6. Let d be j(5). What is the remainder when 60 is divided by d + u + 3 - -16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -2. Factor -4*q + 6*q**2 - 4*q**u + 1 + 2*q**3 + q**4 - 2*q**3.\nAnswer: (q - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t - 4*u - 37 = -39*t + 23*t, -4*t - 40 = 4*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1074, 2198, 3322?\n\"Answer: 1124*t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12676 - -12673. What is the fifth biggest value in 5, 17, -3\/2, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1305*b + 1323*b + 1302*b = 3954*b + 2*n - 16, -b + 5*n = 101 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124 - 82. Suppose 0 = -15*r + r + p. Determine i so that 3*i**5 - 8*i**5 - 2*i**r + 7*i**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -5 (c) -0.5 (d) -322710\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 29 + 120 = 2*p, 0 = -2*v + p + 31. What is the remainder when 112 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**5 + 4*v**4 + 736*v**3 - 5056*v**2 + 9216*v = 0.\nAnswer: -16, 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 892*h**2 + h + 4554?\nAnswer: 1784*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*y - 74*y + 198 = -51*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, w: 3, y: 1, e: 1, c: 4}. What is prob of sequence wbce?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/285300 and -169\/180?\nAnswer: 285300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-74)\/(-14) + (-4)\/14. Let d(o) = 2*o - 2. Let a be d(x). Let t = a + -6. Solve -t*n + 3 + 1 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 559+0.0337889639883\nAnswer: 559.0337889639883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001030176 rounded to five dps?\nAnswer: 0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3)\/k*k)\/k*k)**9\/((k*k**(2\/19)*k)\/k*(k**(1\/34)\/k)\/k) assuming k is positive.\nAnswer: k**(-3317\/646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/340)\/((-3)\/(-15))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 + -0.1. Let f = 4 - 15\/4. Let d = -14\/3 + 104\/21. Which is the nearest to -1? (a) l (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -4, -5, -4\/61, 0.33, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 + -77. List the prime factors of m.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 7. Let h be j(5). Suppose r + 0*r = 140. Suppose 0 = 5*b - h*b + r. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -487*a. Let l(x) = 1273*x**2. What is o(l(d))?\nAnswer: -619951*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(140)*1 - sqrt(140)))\/(-1*sqrt(1008)*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 31+63753113954\nAnswer: 63753113985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3615 equal to 3615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 18 + -7 - (3 + (-8 - 5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(9\/177)*-1.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - 48*k - 357. Let t(y) = 8*y**2 - 99*y - 715. Let f(z) = 9*j(z) - 4*t(z). Find the first derivative of f(c) wrt c.\nAnswer: 8*c - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/8 - 1\/4. Let w = 174894 + -174893. What is the nearest to w in h, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 149 + -295 - (-48 - (-13 + 8)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d + acb4b?\nAnswer: acb1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3534827*i**3 - 2198714*i**2 + i?\nAnswer: -21208962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1202*u + 528*u + 1487*u - 529*u - 653*u + 2574*u.\nAnswer: 4609*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2185414.\nAnswer: 2, 7, 11, 23, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382572329 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300243 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 2.058308?\nAnswer: -2.058308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9150)\/2745 - (1 - (-8)\/1)?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10804540.0597 - -10803804. Let j = 736 + t. Let d = j + 0.0596753. What is d rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + -7 + -6 - 20?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*-327*(-3 - (-21)\/9) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 69.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 171*m**2 - 192*m - 5124. What is k(-170)?\nAnswer: -1384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*x - 12, 4*x - 3 = f + x. Let w(i) = i**2 - 5*i - 3. Let c be w(f). Which is smaller: 4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4448\/272 - 16) + 2736\/(-238)?\nAnswer: -78\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22 + -1 + 3)*2. Suppose 4*g = -2*g + o. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1772079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**4*k)\/(k**(-6\/13)\/k)*k**(-14)\/(k\/(k**(3\/11)\/k)) assuming k is positive.\nAnswer: k**(-2326\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2. Suppose 3*a + 7 = 3*q - 2, -a - q + 7 = 0. Let v(c) = -2*c - c + a*c. Give u(v(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*g - 16 = 64*g. Let l be (-148)\/(-111)*66\/g. Calculate the highest common factor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 13) to base 12\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -293\/4 - -73. Let r = 559 + -558.92. What is the nearest to d in 0.5, r, -13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 61*s - 169. Let a(o) = -60*o + 206. Calculate -6*a(f) - 7*k(f).\nAnswer: -67*f - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 m when four letters picked without replacement from {m: 2, w: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*v**2 + 897*v - 258.\nAnswer: 3*(v + 43)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + a = -417, -4*a + 144 = 4*m + 692. Let o be m\/(-18) - 4\/(-18). Suppose -5*h = 5, o*h = -5*n + 4*h + 37496. What is n rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuiiiixxu. What is prob of sequence xux?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 37*c - 76 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2. Let m(p) be the second derivative of 0*p**3 + 1\/12*p**4 + p + p**2 + 0. Let w(l) be the first derivative of m(l). Determine r(w(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 669059 = 750835. Is 5*2\/(1 + g\/202902) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2238*w - 4. Let o(s) = 3*s**2. Determine f(o(n)).\nAnswer: 6714*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -4032896963\nAnswer: 4032896968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6468186*a*p**2 - a*p + 6048121*a wrt p.\nAnswer: 12936372*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2)*4 - 3. Suppose 0 = -3*w + 5 + o. Let f be -3*3*w\/(-6). Solve -f = -2*d + d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -649 - 6354 - 227*k + 163*k.\nAnswer: -64*k - 7003","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -15*s**3 - 10*s**2 - 11*s - 28. Let y(d) = 46*d**3 + 30*d**2 + 32*d + 84. Let w(x) = 17*n(x) + 6*y(x). Let z be w(-7). Round z to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 37, 2\/5, -35, -1, 0.5, 0.07?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 16. Suppose b + 90 = v*b. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1585029 divided by -17.\nAnswer: -93237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -15. Let c be (-2)\/4*(-17 - i). Let q = -0.2 + -0.3. Put q, c, -5 in descending order.\nAnswer: c, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8835)\/45)\/19 - ((-280)\/(-4))\/(-10)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 - 285 - (-6 + -54)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - 6*n + 16*n**3.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10872 divided by -6.\nAnswer: -1812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 10:35 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520 (base 7) to base 8.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*c - c - 51*c - c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**3 + 20*v**2 - 16*v**2 + 2*v**3 - 2*v**4 as q*v**4 + h*v + t*v**2 + i + g*v**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1309 from -8270.\nAnswer: -9579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3078 + -461699\/150. Let u(g) be the third derivative of q*g**5 + 1\/5*g**3 - 13*g**2 - 1\/15*g**4 + 0 + 0*g. Let u(i) = 0. Calculate i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -73.\nAnswer: -8\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -37*g**2 + 212*g + 309. Determine j(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 1 + 1 - 5*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2 - 4*p - 3. Let g be ((-50)\/(-30))\/(2\/6). Is m(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 - 54. Let n be (0 - 0) + 38\/2. Let u = v - n. Solve 6 = 2*z + 5*c, -3*z + 8*z = 5*c - u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 - -82. Let v = -0.98 + -0.02. What is the nearest to v in 0.7, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c - 21. Let l = -323 + 281. Let n(w) = 1. Give l*n(x) - 2*o(x).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w - 4*w + 0*w)*(-3*w + 6*w - w)*(97*w - 190*w - 137*w) as z*w**2 + d + k*w**3 + y*w and give k.\nAnswer: 3220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let n(c) = c**2 - 4*c. Let r(d) = n(d) - 2*p(d). Give r(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-5 + 1\/(3\/12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*d + 5*d + 29, -4*s - d = -27. Suppose 0 = s*y - 2*y. Solve -5*f + 3*c - 2*c + 16 = y, f = -3*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88 + 102. What is the lowest common multiple of 22 and r?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Let j be ((-14)\/(-8))\/(t\/16). Let o(z) = z - 2. Let m = 293 - 289. Let f(d) = 4*d - 7. What is j*o(x) + m*f(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.50529702 and 2?\nAnswer: -1.01059404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101101 (base 2) to base 13.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.195 and 3102893492?\nAnswer: 3102893492.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwiwwaaddwtsw. What is prob of sequence dwat?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.2 + 13.9. Do -60 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -212.73 in -4, 0.4, 0.1, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + 15. Suppose 2*n = -5*c + 19, -5*n - 19 = 2*c - 77. What is the remainder when n is divided by (-21)\/(-5) + (-9)\/j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.79 - -1.79. What is the closest to -0.1 in 1, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*s - 63 = -4*s, 0 = 3*s + 3. Let c = 39 + o. Calculate the highest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9792 - -9814. Solve -5*h - 5*u - 10 = 0, w = -0*h + 4*h - 2*u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p + 3859 + 8792 + 1912.\nAnswer: 11*p + 14563","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, a: 5, m: 4}. What is prob of picking 2 w and 1 m?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198003275?\nAnswer: 5, 19, 416849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 320\/35 - (-2)\/(-14). Let c be l + ((-3)\/(-3) - -2). Let h be 16\/c - (-2)\/3. Solve -h*m = -t + 6, -2*m - 12 = -m + 4*t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 44*w**3 + w**2 + 43*w**3 - 88*w**3 + w**2 + 16*w. Let o be u(5). Calculate the greatest common factor of 20 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k + 15 = 0. Let u be k\/(50\/(-12)) + -1. Let w = 2 + -2.5. Which is the closest to -0.1? (a) w (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, m: 1, h: 2}. Give prob of sequence vh.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*j - 1350, 2*j + 2291 = -5*b + 607. Let y = 351 + b. Calculate the smallest common multiple of 3 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + (41 - 29) - (-4 - 6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*(-4)\/10)\/((-28)\/10). What is the closest to p in 2\/53, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630164.\nAnswer: 2, 257, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4. Suppose 4*s + 1 - 9 = i. Suppose s*q - 5*q = -6. Calculate the greatest common factor of q and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -579, -1170, -2121, -3552?\nAnswer: -5583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/3 + 156616*z**2 - 626468*z + 1879408\/3 = 0. What is z?\nAnswer: -469852, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 86897339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 3 + (8 - 19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g - g**3 + g**3 + g**3 + 2*g**2. Let z = -9 + 6. Let p be t(z). Which is the second smallest value? (a) -4\/3 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 11 = -2*j + 15, -2*j = -4*y - 22. Suppose -7*w + 95 = 5*v - 2*w, -5*w + j = v. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*u = -7, -4*g = -7*u + 4*u - 79. Let t be 3 + (-5)\/((-10)\/g). Suppose -3 - 2 = -5*l. Solve t - l = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.87 - -2.9. Let h = 0.17 + l. Let w = h - 0.20006. What is w rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 - 143. Let a = -37 - w. Suppose 0*z + 4*z = 5*c - a, -4*c + 8 = -3*z. Solve -h - h + 8 = z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 13.5. Let z = 0.5 + v. What is the third biggest value in z, -0.1, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-30 - 4) - -2. Let h = -21 - s. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52104*r**5 - 941070*r wrt r.\nAnswer: -1042080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 4*j**2 - 4*j - 4. Let h be f(5). Suppose 4*w - 3 = h. Suppose -2*d**4 + w - 1 - 3*d**2 + 3*d**4 + 2*d = 0. What is d?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 8:23 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234557, 237238, 239919, 242600?\nAnswer: 245281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1033*v**4 + 40*v**3 - 257*v - 5083?\nAnswer: -12396*v**2 + 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 207640636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89327\/3 - -29776. Factor 1\/6*m**3 + 1\/3*m**2 - y - 1\/6*m.\nAnswer: (m - 1)*(m + 1)*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 19752149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2770972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73345.88 micrometers to nanometers.\nAnswer: 73345880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/4)\/n**(-3\/25) assuming n is positive.\nAnswer: n**(87\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqqn when four letters picked without replacement from {q: 9, r: 2, k: 2, n: 3}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 294, 472, 688, 954?\nAnswer: 1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - f + 1. Let y(g) = 49*g**2 - 35*g + 35. Determine -35*t(k) + y(k).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 136095563280 and -0.0025.\nAnswer: 136095563279.9975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 2*o. Let q(y) = -2*y**3 - 24*y**2 - 7*y. Give 2*g(d) - q(d).\nAnswer: 4*d**3 + 24*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)\/w)**(-38)\/(w**(7\/5))**(-30) assuming w is positive.\nAnswer: w**(476\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 287775?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1378, 1379, 1378, 1375, 1370, 1363?\nAnswer: 1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000000110011011001011 (base 2) to base 7.\nAnswer: -50606004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-55)\/(-165))\/(1\/3). Sort -2, -3, j, -5 in ascending order.\nAnswer: -5, -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.25 - 7.25. Let b = -8 - i. What is the nearest to -2 in 2\/3, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5060 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 5*w, -100*o + w = -95*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 531910 and 1075.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 295 - 7967\/27. What is the third biggest value in 3\/4, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -45, 0.4, 1?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -84.9 times 348\nAnswer: -29545.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 54667674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83975 or -83977?\nAnswer: -83975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*l - l - 15, 2*l + 10 = -o. Let r be 44\/2 + o + 7. What is the second derivative of -r*z**2 - 4*z + 3*z**3 + 25*z**2 wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42891 is divided by 542.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99649, -99620, -99595, -99574, -99557?\nAnswer: -99544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -13 - (-2 + 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 10*b - 22. Give h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - -24) + -9 + 1 + 7\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 7. Let l be h(7). Let z = l - -2. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*n - 0. Suppose -4*v = 4*v - 128. Let g be (-13 - 1)\/(v\/n). Which is greater: g or -9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368727473 to the nearest integer?\nAnswer: 19202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + h - 17, -2*u = 2*u + 5*h - 19. Suppose 4*f - 499 = -15. Calculate the greatest common factor of u and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 - 20296\/(-2580) - 287\/(-15)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 22. Let g be ((-2)\/(-3))\/((-4)\/(-6)). Which is smaller: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 24*c - 678 + 680, -2*l - c + 4 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 306 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 1, r: 1, e: 1, k: 1}. What is prob of picking 1 k and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 100110000000101110011 (base 2) to base 5\nAnswer: 304324210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 3\/(45\/(-30)))\/(1 + -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -330 and 8?\nAnswer: -2640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**7\/840 + g**5\/120 + g**4\/24 + 4*g**3 + 26*g. Let r(c) be the second derivative of y(c). Determine r(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13955 + 14409. Calculate the remainder when d is divided by 124.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -30627\/20 and 2\/319 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 2*r + 5*r - 2*r to y + o*r and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 55 - 263 = 0. Suppose d*l = 1174 - 355. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1092 - 3888. Let a = x + 3929. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and 13.35.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 708\/5 - 14\/(-10). Calculate the greatest common divisor of a and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1007, 1008, 1009, 1010, 1011, 1012?\n\"Answer: n + 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13321.65 months to millennia.\nAnswer: 1.1101375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (4 - -4 - (1 + 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxk when three letters picked without replacement from {k: 8, x: 3}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 615, 2, 1235 in increasing order.\nAnswer: -14, 2, 615, 1235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5630334 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -209*u**3 - 39*u**2 - 3*u - 3993 wrt u?\nAnswer: -1254*u - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 472490 and 25540?\nAnswer: 944980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2582510 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8053665 + -0.545373. Let d = -0.29 + 0.55. Let w = d - p. Round w to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncau when four letters picked without replacement from {a: 2, c: 2, l: 6, u: 1, n: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -52.8 and 22.55.\nAnswer: -30.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/4))\/c**5*c\/c**5*c\/c**3)**(-18) assuming c is positive.\nAnswer: c**(351\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/(-1980))\/((-10)\/(-6)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a - 16. Suppose -a*m + 5*v + 4 + 7 = 0, -4*v = -4. What is the least common multiple of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253004501 to the power of 1\/3, to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 15*b**2 - b - 6. Let h be z(15). Let w(p) = p**2 - 12. Let o be w(0). Let u = o - h. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01926208 and -15?\nAnswer: 15.01926208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(2448) + sqrt(2448) + sqrt(2448) + (sqrt(2448) + 0)*-5 - (-1 + 0 + -1 + sqrt(2448)))**2.\nAnswer: 144*sqrt(17) + 88129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 + 1.2. What is the nearest to 4 in 4, n, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 7*t. Give b(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**2 - 20*d**2 + 15*d + 4*d**3 + d**3 - 5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11919, -11981, -12043, -12105, -12167, -12229?\n\"Answer: -62*f - 11857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 - 2.14. Let b = -23.98 - -5.98. Put d, 1\/4, b in increasing order.\nAnswer: b, d, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -16, 29, 301 in decreasing order.\nAnswer: 301, 29, -16, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by 1?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82152353*d**3 - 336278616*d.\nAnswer: 492914118*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -33*g**2 - 3. Let x(m) = 18*m**2 + 2. Let f = -58 + 55. Let y(p) = f*i(p) - 5*x(p). Let l(j) = -j. Calculate y(l(a)).\nAnswer: 9*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 7. Let y be i(-4). Let g(b) = 2 - 2 - b + 1. Let f(d) = -6 - 5 + 3 + 9*d. Calculate y*f(q) - 24*g(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 3*s - 0*s. Suppose -4*a - 11 = 3*d, -5*a = -3*d + 8*d + 20. Is (-1 - a) + s\/(-6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2612 + -0.8798. What is l rounded to two decimal places?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 48. Let q be (7\/(v\/(-10)))\/(-2). What is the tens digit of 3*((-166)\/(-6) - q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -613 - 625 + 3*n + 1249. Let t(u) = 4*u + 16. Give 7*a(q) - 5*t(q).\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 108750 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 30*r + 151*r - 463*r.\nAnswer: -342*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -85126 (base 9) in base 12?\nAnswer: -28666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*b + 87*b + 96*b - 278*b - 20431.\nAnswer: b - 20431","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 88464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 114*p**2 + 107*p**2 - 430*p**2 + 104*p**2 + 104*p**2. Let i(o) = -122*o - 7. Give v(i(l)).\nAnswer: -14884*l**2 - 1708*l - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 35*h + 3. Let m be u(-2). Let i = 30 + m. Let c = 5 - i. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (sqrt(14)\/sqrt(2))**2 + 5)*5.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.192 + -0.192. What is the fourth smallest value in 2, -1, 9, q?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - sqrt(20)) + (sqrt(5) - 4*sqrt(20)\/sqrt(4)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - l - 13 - 3, -4*l = 3*a + 43. Suppose -4*k = -66 - 78. Let s = a + k. Calculate the remainder when 43 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 4.8.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.897 + 1.9. What is g rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0, 33, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 + 2*v**2 - 2*v**2 + (-v + 2*v + v)*(-v**4 + v**4 - v**4) - v**5 + 0*v**2 + 0*v**2 + 2*v**5 - 2*v**5 + 2*v**5 - 3*v**4 + 3*v**4 + 3*v**5.\nAnswer: 5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 36 = 2*j. Let k = -57 + j. What is the third biggest value in -3\/8, 1\/6, k?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3*v**2 + 321617*i**3*v + 2149*i**2 + 4*i*v**2 + 49*v**2 + 2 wrt i.\nAnswer: 12*v**2 + 1929702*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = -4*q + 232. Calculate the remainder when q is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 395. Let c be w(0). Let j = -2003251\/30 + 201511\/3. Let h = j + c. Calculate the common denominator of h and 125\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120210180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l - 5*l + 3*l)*(6 - 13 + 10).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*(-16)\/(-28).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10\/77 + 57\/154. What is the biggest value in 2\/13, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-2*(-20)\/(-560)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -537 + 547. Calculate the greatest common divisor of x and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -4. Let y = -8 + d. Solve 0 = i + y*i + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 3 - 3)*(-3 + 1 + 1) + 3 - 3 + 4 - 1 - 2 + 5)*(4*m**2 + 0*m**2 - 5*m**2)*(4 + 0 + 0)*(3*m - 4 + 4) as y*m**2 + t*m**3 + w*m + f and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -2 (c) 24.891\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 8) + 3 - (-1 + -1). Let r*k - k**2 + 7\/2*k**3 + 0 - 7\/2*k**5 + k**4 = 0. Calculate k.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6 = -r. Let w be 0 + -1 + r - -7. Solve -f - 16 = -4*k, 0*f + 5*f - 40 = -w*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a (base 13) in base 11?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 997431576 divided by -166238596.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t - 4. Let w(h) be the first derivative of -7*h**2\/2 + 3*h - 1. Let n(y) = 5*q(y) + 4*w(y). Let f be (11 - (-15)\/(30\/(-26))) + 8. Give n(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 0*s**4 - 61 - s - 8\/3*s**3 - 29\/6*s**6 + 0*s**2 + 0*s**5. What is the third derivative of g(c) wrt c?\nAnswer: -1740*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 908127 or -71?\nAnswer: 908127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4370 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -4*t. Let p(k) = k**3 + 1. Let g be p(t). Solve a + g = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 - f**2 - 2*f**2)*(-3 + 6 - 1)*(-f**3 - f**2 - 2*f**3 + 2*f**3).\nAnswer: -4*f**5 - 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1417126 millilitres?\nAnswer: 0.0001417126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 2) + -56 + 56 + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8958 - 8958. What is the second smallest value in -0.2, 5, -1, x, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11890 - -86?\nAnswer: -11807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d - 11*d + 5*p - 5 = 0, 0 = 5*d + 3*p - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-112)\/(-7903))*4. Suppose -5*f + 310 = -4*l + b, -407 = -2*l + 5*f. Round l to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 6*z**2 - 11*z - 7. Let p(u) = u**3 - 11*u**2 - 26*u - 7. Let j be p(13). Calculate the remainder when 79 is divided by d(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*t - 1806 = 473*t + 1386. Let i(r) = 10*r - 10. Let j(a) = 3 - 2*a + a - 2*a. Let z(v) = 2*i(v) + 7*j(v). What is z(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9368173 is divided by 147?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2323*((-12190)\/10706)\/(-115)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*f = -3*f + 1385994, 2310002 = 5*o + f. Suppose -5*y + o = -11*y. Round y to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - 1.61. Let k = x - -0.00896. Round k to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -40408\nAnswer: 5\/40408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 425 + -421. Suppose n = 5*m - 694, 3*n + 564 = -0*m + i*m. Calculate the highest common factor of 92 and m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9714339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/9*-3 - -2. Solve -4*g = -12, s*q + 13 = q + 3*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a factor of 134097881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 436 + -371. Let v = h - 65.000000178. What is v rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*g + 2640 = 111*g. What is the biggest value in -4\/5, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26585 by -209.\nAnswer: -26585\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g - 2. Let o(b) = 38*b + 60. Give o(y) - 5*s(y).\nAnswer: 13*y + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2432 + -1042. Suppose f = -3*u + 2*u + 466, -f = -3*u + o. Let s = 16 + u. What is s rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3034)\/(-8)*(4\/(-2) + 6). Suppose 0 = 4*s - h - u, 5*h = 2*s - 535 - 246. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p = 18 + 114. Solve -59 = 11*s - p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32479 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61645*q**4 + 6*q**3 + 8*q**2 - 133*q + 83274.\nAnswer: -739740*q**2 + 36*q + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - (-366)\/54) + (-1312)\/9. Let q = v + 174. What is the remainder when q is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -409\/2 at most 1129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 127*z**4\/2 + 449*z - 143. Find the first derivative of k(t) wrt t.\nAnswer: 762*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g + 0*g**2 - 9 - g**2 + 11*g. Let b be t(6). Suppose -13 = o - 4*y - 21, -2*y = -2*o - 2. Is o greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 568*j + 402 = 566*j. Is -799\/4 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -381 times -8.29?\nAnswer: 3158.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2539 times -1257?\nAnswer: 3191523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y + 925 - 492 - 5*y)*(8 - 4 + 3) to w*y + i and give i.\nAnswer: 3031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169633.4989 rounded to the nearest one thousand?\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 196, 745, 1666, 2965, 4648?\n\"Answer: y**3 + 180*y**2 + 2*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(125) + 3) + (sqrt(4000)*1 - sqrt(4000))\/(sqrt(504)\/sqrt(7)).\nAnswer: 4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/12, 0.8, 2\/9.\nAnswer: -1\/12, 2\/9, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22898*0.024.\nAnswer: -549.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -8\/693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*t + 19 + 489*t**2 - 19 + 50*t.\nAnswer: 489*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 7:35 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 290 and 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 6*z**2 - 3*z - 2. Let o be q(-9). Suppose -16*b = -20*b - o. Is b != -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 10. Let i be k(9). Suppose -i*f = -22*f - 9. Let q = 5.2 - 0.2. What is the smallest value in f, q, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 + -103. Let f(j) = 23*j**3 - 4*j - 7. Is f(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -505.362 rounded to the nearest ten?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msss when four letters picked without replacement from {s: 6, m: 12}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -102538.453755 take away -0.5?\nAnswer: -102537.953755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + -28 + 18 + (-23 - -4)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12*q - 102. Suppose -84 = 13*g - 201. What is m(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 11. Let u be q(-6). Let y = 21 + u. Suppose 0 = 2*n - y. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 2*x + 2. Suppose 10*p + 6*p + 528 = 0. Let g be (-11)\/p - (-14)\/(-6). Suppose 4*u + u - 5 = 0. Let v(z) = -z. Give g*v(f) + u*l(f).\nAnswer: 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 + 84*r**3 - 96*r**2 - 176*r.\nAnswer: 4*r*(r - 2)*(r + 1)*(r + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 63 = -39 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/30)\/(2\/4). Let c = 26692 - 26695. What is the third smallest value in c, t, -0.3, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**2 - 154*n + 41. Give r(-31).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -14 + -12 + -15 + 10?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-7506)\/(-6255))\/(1\/(-230)*6)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddhddhddd. Give prob of sequence dhdd.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 13*t - 6. Let k be j(13). Let c be 3\/k + (-20)\/(-8). Suppose 0 = -2*u - 0 - c. Is u at least 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4031, -16233, -36877, -66215, -104499, -151981?\nAnswer: -208913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 13 - 35 + 7 + z**2 - 38. Let s(u) = -6*u**2 + 4*u + 213. Let f(d) = 9*k(d) + 2*s(d). Differentiate f(r) wrt r.\nAnswer: -6*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**3 + 246*y**2 + 53*y + 198. Let l be u(-49). Let c be 0 - (6\/(-4) + 1). Is l < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9998*g**2 - 235*g**3 + 236*g**3 + 4126*g**2.\nAnswer: g**3 + 14124*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 631007977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -605 + 2?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 14. Let b = -100 - -152. Let n = -47 + b. Solve -5*m + a*v = 9 - 41, 0 = m - n*v - 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30456785 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-14)\/v**(-13)*(v*v**(-9))\/v**(-16\/5))**(1\/10) assuming v is positive.\nAnswer: v**(-29\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 4, 0.08, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1852*l - 162803 = -441*l for l.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11522.1 and -12.9222585.\nAnswer: 11509.1777415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1668 and 7923?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -712598328 divided by -1.\nAnswer: 712598328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.253386mm to kilometers.\nAnswer: 0.000008253386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1430202043 (base 5) to base 8\nAnswer: -16250753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40587690 or 40587689?\nAnswer: 40587690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2844 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**2 - 196765*c + 240813540 = 0.\nAnswer: -40541, 1188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 439931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**3 + 147 + 70 - 15*v**3 + 230.\nAnswer: -2*v**3 + 447","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3)*1 + 1 - (-2 + sqrt(75) + sqrt(75)) - (1*sqrt(75) - (sqrt(3)*-1 + 2))))**2.\nAnswer: -1350*sqrt(3) + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 441 and 1512.\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyttqttyyyyty.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -301 bigger than -300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 - f**2 - 2 - 2*f + f**2. List the prime factors of h(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as -87090\/27713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 4*p**6\/45 + 44*p**3\/3 + 31. Let u(x) be the third derivative of l(x). Let y(t) = 3*t**2. Determine u(y(k)).\nAnswer: 288*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -24*l + 21*l + 79, -2*l - b = -48. Sort 11, 0, 3, l.\nAnswer: 0, 3, 11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 389*r + 11 = -386*r, 0 = -2*z - 5*r + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*l + 20 = -7, 2*l - 14 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1703 - -1703. Suppose 0*i + 5*c = 2*i + 5, -5*i + 65 = 3*c. Solve 8*v - 3*v - i = w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 0 + (0 - 2 + 3)*(2 + 2 - 3))*(-3 + 3 + 5*u + (-3 + 3 + 2)*(1 - 1 - 2*u) + 2*u + u - u) in the form f*u + j and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2455070 and 1455.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-1 + 3\/6). Suppose -2*o + u = -5. Let k(g) = g**3 + 5*g**2 - 4*g. Does 18 divide k(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-134 - -129)\/(5\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3628044 by -4.\nAnswer: 907011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcdicldctttdtd. Give prob of picking 2 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 21*s + 107. Let k be n(12). What is the nearest to k in -1, -34, 0.5, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*u**3 - 303*u - 2.\nAnswer: 270*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times -156?\nAnswer: -3432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -25*c**2 - 219*c + 55. Let d be r(-9). Solve 3*u = 2*w + 2, -27*w + 26*w = -3*u + d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -144036?\nAnswer: -144053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61 + 4?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*z - 11*z**2 + 10*z**2 - z**2 + 14*z + 20 to x*z**2 + w*z + s and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (31 + 7)) + 0 + -9.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - 0.04. Let z = u - -0.0028. Round z to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -8. Let i be -28 + 0*(-4)\/20. Let m be (52\/i + 1)*7. Is m less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/25)\/(((m\/(m\/(m*(m**9\/m)\/m*m))*m*m)\/m)\/m) assuming m is positive.\nAnswer: m**(-223\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Let o(v) be the second derivative of 2*v**2 + 3*v + 0 - 1\/12*v**4 - 1\/6*v**3. Calculate o(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 69 = 216. Calculate the greatest common divisor of 147 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 10*l - 7. Let i be b(7). Let y = i - 10. What are the prime factors of (y\/6)\/(4\/72)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5346, 5524, 5716, 5928, 6166, 6436, 6744?\n\"Answer: s**3 + s**2 + 168*s + 5176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (sqrt(1920) - (sqrt(1920)*1 + sqrt(1920) + sqrt(1920)))\/(sqrt(42)\/(sqrt(7)*-2)).\nAnswer: 4 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 0*a**3 + 0*a**6 + 23\/14*a**7 + 0*a**5 + 1 + 0*a**2 + 37\/4*a**4 - 45*a. What is the third derivative of d(z) wrt z?\nAnswer: 4140*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 693 = -5*c, -n = -0*c + 4*c - 567. What is the units digit of c\/(4*(-15)\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782189 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/((0 + -1)\/(-1)). Calculate the remainder when 24\/7 - r\/(-28) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -774408*m**2 + 2732001.\nAnswer: -1548816*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1280, 2560, 3840, 5120?\nAnswer: 6400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from {f: 2, x: 2, h: 2, o: 2, s: 5}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/2 - 31*j**3 + 65*j**2\/2 + 63*j = 0.\nAnswer: -63, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 755, 1645, 2877, 4451, 6367?\nAnswer: 8625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.20056619 and -15296.\nAnswer: -15295.79943381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5534397, 11068793, 16603189, 22137585, 27671981?\n\"Answer: 5534396*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 269a32 (base 12) to base 10\nAnswer: 639110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-7) + -12*264\/10080. What is the nearest to 1 in 5, 1\/23, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3, -7, 1, 0.5, -0.2, -5, 573976?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036 plus 11254?\nAnswer: 11254.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1061, -2074, -3061, -4010, -4909, -5746, -6509?\n\"Answer: 2*b**3 + b**2 - 1030*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-18)*(-407286)\/(-10285).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -10. What is the second derivative of 22*c**2 - 14*c - 6*c**j - 6*c**2 wrt c?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 4*y - 2*y + (7 - 4 + 6)*(0*y + y - 2*y))*(0*y - y + 0*y).\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/9 - 17222540*n\/9 - 22963408\/3.\nAnswer: 4*(n - 4305639)*(n + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 18. Which is the third biggest value? (a) 3\/5 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -305305 and -1770547305.\nAnswer: -1770852610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dc62 - -4?\nAnswer: -dc5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z = 0. Solve h - 5*n + 2 + 3 = 0, z = 2*h + 3*n + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*(-7)\/(6 + 1). Let c(z) be the second derivative of -7*z**3\/6 - 37*z**2\/2 + 18*z. Let k be c(d). Solve 0 = -5*n + k + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/3, 2\/9, -0.046, -6, -1\/4, -0.27, -0.19?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 7*m - 7. Determine n(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1915*i - 12 - 2856*i + 15 - 3071*i as m + g*i and give g.\nAnswer: -4012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24510, 25187, 25864?\n\"Answer: 677*j + 23833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/216 and -2\/459?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 209.1704ml?\nAnswer: 0.2091704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15881244.\nAnswer: 2, 3, 1323437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3*r + c, 2*c = -4*r + 102 - 116 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597004063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 40 = 2*k. Suppose -3*t + k = 2*j, t - 16 = -4*j - t. Suppose j = -5*m + 14. Solve 6 + 1 = -3*y + 2*b, y - b = -m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1371, -1239, -1111, -993, -891?\n\"Answer: -i**3 + 4*i**2 + 127*i - 1501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (5 - (2 - (-14 - -8))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 10*f + 4. Let u be b(-5). Let c be ((-24)\/42)\/(6\/u). Let r(y) = -y**2 + 2*y**2 - 1 - y + y**c. Calculate r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1829383 rounded to four decimal places?\nAnswer: 0.1829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {x: 1, p: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 45*r**2 + 2*r - 1. Let x be i(1). Suppose 3*b - 115 = -x. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/105 and 35\/76?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.393 + -1.393. Let h be (1 - 3 - -6) + 2. Let g be (4\/6)\/(4\/h). What is the closest to a in g, -1\/2, 3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*f = -317*f - 78 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 e when four letters picked without replacement from eggeccecc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -818 + 14309?\nAnswer: 135a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -4. Let u = 31 + -28. Put w, 3\/7, u in decreasing order.\nAnswer: u, 3\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57\/14 + -32\/7. Let v = 1.7 + 0.8. Let t = 0.5 + v. What is the nearest to p in t, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**9*f)*f)**(2\/33))**36)**(-4) assuming f is positive.\nAnswer: f**(768\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*b**2*j**3 + 6725*b*j**2 - b + 643*j**3 + 536*j wrt b?\nAnswer: 166*b*j**3 + 6725*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = 5*q - 3*n, -q = 2*q - 3*n - 282. Suppose 0 = q*m - 87*m - 864. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -31208.2\nAnswer: -624.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -201723*r + 5 - 5 + 207510*r - 247*r**2 - 624*r**2 wrt r?\nAnswer: -1742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50883533 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19802.277 + 19787. What is y rounded to 1 dp?\nAnswer: -15.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/8*(-2)\/(-6))\/((-13)\/26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16999, 16997, 16993, 16987, 16979, 16969, 16957?\nAnswer: 16943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-3))\/5*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1032 and 20268480.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2500*u**2 - 5*u + 86. List the prime factors of d(3).\nAnswer: 22571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.42621011 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - -6)\/(9\/(-6)). What is the remainder when 34 is divided by (-116)\/h - (-18)\/45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 0.3, -3\/2, 5288, 0.2.\nAnswer: -3\/2, 0, 0.2, 0.3, 4, 5288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-6)*2\/3. Let z = -29 + 10. Let p = -19 - z. Which is the third smallest value? (a) -0.5 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**3)**(-2\/51)*c*(c\/(c*(c\/(c*c**(3\/26)))\/c*c))\/c*c*c*c\/c**23 assuming c is positive.\nAnswer: c**(-26263\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -83\/7. Let x = -33\/116 - -1\/29. Let w = -175 - -175. Which is the nearest to x? (a) v (b) w (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -7, -1343, -5, 3 in descending order.\nAnswer: 3, -3, -4, -5, -7, -1343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 210092008 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 325108247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**4\/24 - f**2. Let x(v) = 8*v**2 - v**2 + v**2 - 6*v**2. Give x(s(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11135 * 0.3\nAnswer: 3340.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/196982 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 5*q + 9. Let x be (-28)\/8 - -3 - 15\/(-2). Give z(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 + 13*m + 1. Suppose -30 = -10*l + 5*l. Let v(s) = 2*s**2 + 6*s + 1. Let o(i) = l*c(i) - 13*v(i). What is the first derivative of o(p) wrt p?\nAnswer: -16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1036021 divided by 148003\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373, -579, -929, -1429, -2085?\nAnswer: -2903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 2*q**2 - 4*q - 4. Let s(r) = -r**2 + 9*r - 11. Let b be s(8). Let f be u(b). Let a(v) = -v + 6*v + 0 - 1 - v. Calculate a(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1832*o**2 - 4622*o**2 + 9*o + 1944*o**2 + 2.\nAnswer: -4510*o**2 + 9*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 6)*(1 - 1 + 2*n + (1 - 2*n - 1)*(-1 - 3 + 2) + 2 - 2*n - 2)*(-7*n**2 - 2*n**2 - 3*n**2) in the form b*n**2 + d + r*n + l*n**3 and give l.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 4*l - 6. Let r(o) = -3*o**2 - 4*o + 5. Calculate 5*g(m) + 6*r(m).\nAnswer: -3*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 244 - 340 = -2*j, -584 = 4*t - 4*j. Let y = t - -245. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2. Let h(m) = 21*m + 45. Determine h(w(k)).\nAnswer: -42*k**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x - 2*t - 182, -x + 5*t + 91 = 0. What is the remainder when x is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - -1.99. Let f = -0.1 - 0.9. Let g = f + 0.6. Which is the second biggest value? (a) g (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 98464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121 + -87 + -6 - 55?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19463767 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**8\/2520 - h**7\/630 + h**5\/90 + h**4\/36 - h**3 + 2*h**2. Let s(x) be the first derivative of o(x). Factor s(j).\nAnswer: -2*(j - 1)*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-28) - 967\/(-4). Suppose 4*v + 583 = -0*y - 5*y, -4*v + y = 589. Let n = v + h. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4900 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0 - 20 = 0. Let v = 7 - x. What is the remainder when 45 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7371491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**3\/3 - 19*k**2\/2 - k + 101. Let b be m(19). Is b at most as big as -2\/479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15389 by -872.\nAnswer: 15389\/872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 9 - 2*m - 4 - 9*m**2 as p*m**2 + h*m + z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - -1.6. Let s = 1.5 + -2. What is the biggest value in s, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 - 105 + 394 - 166 + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -889*p + 339600. Calculate c(382).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -561 (base 9) to base 13.\nAnswer: -295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e17 (base 16) to base 11.\nAnswer: -278a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c2 (base 13) in base 15?\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35856 and 1986.\nAnswer: 11868336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 10*i + 140 = 0. Solve -7*j - i = -0*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-1)*3\/4. Suppose 2*t - 2*y + 4*y = 64, -2*t - h*y = -66. What is the smallest common multiple of t and (-3064)\/(-68) + (-10)\/170?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -7 + 4 - -1 - (14 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 31. Let k be 1\/i + 55\/66. Is 14 a factor of k*(-4 - -3) - -57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.1 * 0.014.\nAnswer: -0.2814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/5 (b) 20 (c) -4 (d) 0.05 (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7\/1101, -3, -0.7, 5?\nAnswer: -7\/1101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 512113, 2048454, 4609021, 8193814, 12802833, 18436078, 25093549?\n\"Answer: 512113*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23760550?\nAnswer: 2, 5, 11, 43201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/a**6))**(-1\/11))**(1\/64) assuming a is positive.\nAnswer: a**(-5\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z + 38. Let d be m(-6). Suppose 14 + d = 8*p. Suppose 7*i = p*i + 535. List the prime factors of i.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4656.44 kilograms to grams.\nAnswer: 4656440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52317523*k**2 + 2*k - 5544693 wrt k.\nAnswer: 104635046*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (842 - -68)\/26 + -51.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*s - 25 = -5*w - 113*s, 0 = 5*w + 2*s - 22 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 g, and 1 v when three letters picked without replacement from {j: 1, p: 1, f: 1, v: 2, x: 2, g: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -26855*j - 48. Is v(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54922.\nAnswer: 2, 7, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 10*c. Let l(o) = 3*o**2 + 7*o + 4. Let z be l(-2). Let y(n) = -3*n**2 + 8*n**2 - 2*n**z. Calculate y(p(t)).\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*s = 40, -b - 10 = -2*s - 3*s. Let p = b + -14. Is -22 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81330, 325360, 732084, 1301502, 2033614, 2928420, 3985920?\nAnswer: 5206114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 14 = f + l, 2*l + 10 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 367372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 17*p**2 - 2030*p + 1030361. Let u(f) = 2*f**2 + 17. Let m(b) = 5*s(b) - 40*u(b). Factor m(t).\nAnswer: 5*(t - 1015)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 2685?\nAnswer: 21480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -61.\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-423)\/63 - (-4)\/(-14). Let v(m) = -m**3 - 5*m**2 + m - 3. Let p be v(r). Suppose 5*t - p = 87. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 27369*a + 136920.\nAnswer: -3*(a - 5)*(a + 9128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 509*m**2 + 24562*m - 3657. Determine v(-455).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2398 is divided by 625?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*v = -1419, 5*v = -n - 1839 + 3234. Calculate the remainder when n is divided by 69.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25422104 (base 7) to base 11.\nAnswer: -1337123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 87979.395 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -3*l - 25, y = -11*l + 6*l + 12 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*j**4 + 3729356*j**3 - 144894336040*j**2 + 1424427504400*j + 241429444000 = 0. Calculate j.\nAnswer: -1\/6, 10, 77690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - -2.2. Let i = -821 - -815. Which is the nearest to 0.1? (a) h (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5680930429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5\/3 + 848*h**4\/3 + 122594*h**3\/3 + 2139828*h**2 + 18472680*h + 43801200 = 0.\nAnswer: -138, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-121 - 40 + 92)*(-4*r + 2*r + 3*r) as f + u*r and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2115593128 to the nearest integer?\nAnswer: 45996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (25\/(-15)*-530)\/((-2)\/(-3)). Suppose -y = 2*j + 4, 0 = y + 2*j + j + 6. Suppose m - b = -4*f, 3*m + 2*m - 5 = y. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 418075177?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -225 - -214. Let q(c) = -16*c - 128. Does 24 divide q(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b - b)*(-461*b + 238*b + 4 + 240*b)*(-2*b**3 + 1 - 1 + (-b + b - 2*b)*(b**2 - 3*b**2 + 0*b**2) + (-b + 3 - 3)*(-b**2 - b**2 + 3*b**2)).\nAnswer: 17*b**5 + 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**8\/42 - 13*x**4\/24 + 19*x**2. Find the second derivative of p(i) wrt i.\nAnswer: 160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 2 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*84\/8. Let s = v + 12. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c6 - -2123?\nAnswer: 2219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21223 - -475?\nAnswer: -20526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**5 + n**4 + 517*n**3 - 221*n?\nAnswer: 80*n**3 + 12*n**2 + 3102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -3*z + 2*b, 0 = z + 2*b + 58137 - 58090 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/2 + 8640*p + 34520.\nAnswer: 5*(p + 4)*(p + 3452)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 14*n**4\/3 + 8*n**3 - 184*n**2\/3 - 32*n + 512\/3 = 0.\nAnswer: -4, -2, 2, 16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 9:37 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 12*z**2 + 18*z - 11. Let i be b(-10). Suppose -i*u + 168 = -3*u. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3521677 - -0.3\nAnswer: 3521677.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -6 + 2)\/(6\/2). Solve f = v - 0 - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1552555, -1552531, -1552505, -1552477, -1552447, -1552415?\n\"Answer: f**2 + 21*f - 1552577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65\/3 - 22. Let i = -0.017 - -0.517. Which is the biggest value? (a) x (b) i (c) -456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -148, -461, -1086, -2131, -3704?\n\"Answer: -18*q**3 + 6*q**2 - q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 396336.1 + 122\nAnswer: 396458.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 7:06 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989866.\nAnswer: 2, 494933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, n: 3}. What is prob of picking 1 h and 1 n?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -3354289.\nAnswer: -10062867","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z - 11220 + 11220.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61362?\nAnswer: 2, 3, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -1, 3, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8633.011ml in litres?\nAnswer: 8.633011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -21*d**2 - 278*d + 4. What is u(-14)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n + 2*n**2 - 7*n**3 - 2*n**2 + n wrt n?\nAnswer: -42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1680566512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.0154788 rounded to 2 dps?\nAnswer: -10.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.41 + -19.59. Let x = n + 20. Let p(w) = -w**2 - 3*w. Let t be p(-4). Which is the closest to -1? (a) x (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 9*o**2 - 21*o - 44. What is the least common multiple of t(12) and 153?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 16) to base 5.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*(4 - 23)*(-1 + 2). Let k = x + 385. Let s = k + 12. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 0.2 (b) 0.5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 6. Solve -x = -2*m + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 24*j**2 + 2*j + 41. Give v(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 8.83, -1\/8, 36 in descending order.\nAnswer: 36, 8.83, -1\/8, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -4 + 13 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6.9, -4\/3, 3\/7, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1869212000 rounded to the nearest 1000000?\nAnswer: -1869000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0*w**4 + 0 + 0*w - 5*w**2 - 1\/60*w**5 + 1\/3*w**3. Let z(d) be the first derivative of p(d). Let v(a) = 8*a**2. Give z(v(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 + (-3)\/2 + 27\/(-54) is divided by 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2759 and 1157?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 80.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*t + 42 - 12 - 6 - 16 - 12 in the form r*t + i and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**3 - 7*x**2 - 6*x - 16. Let p be r(-8). Suppose -803 = -3*z - 5*m, -4*z + p = -m + 569. List the prime factors of z.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 take away 0.3018?\nAnswer: 54.6982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in 0.4, 0.207289, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.79 - 22. Let q = -0.56 - l. Round q to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520545 (base 7) in base 14?\nAnswer: 24695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) -2 (c) -0.6 (d) -1\/5 (e) -1\/131\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 - u**2 + u**2)*(-208 + 207 - 124) in the form w*u + k*u**2 + l and give k.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, 139, -2, -1 in increasing order.\nAnswer: -2, -1, 112, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -13*s + 6*s + 53, -4*s - 122 = -138 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25595545813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*sqrt(5)*5 + 5 + -3.\nAnswer: -5*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.606 - 964.394. Let g = h - -961. Sort 4\/15, 5\/3, g in decreasing order.\nAnswer: 5\/3, 4\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -7*h + 84. Suppose -3*n - 5*k = h, 2*n - 5*k + 54 = -n. Let m = 1 - n. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-36))\/(((-1652)\/(-24))\/(-59))*35?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/20 - -3*(-258)\/(-660). Solve -2\/11*k**3 - 30\/11*k - 18\/11 - h*k**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 6*o + 6*o + (-5 + 4 - 1)*(o + 0*o + o) as i + j*o and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a - z + 499 = 0, -3*a - 5*z + 317 = 0. What is the remainder when a is divided by ((-96)\/120)\/((16\/130)\/(-4))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -6. Suppose 4*o - 5*m - 46 = -0*o, -4*m + 28 = y*o. Let b(h) = h**3 - 7*h**2 + 9*h + 8. Let w be b(5). Solve 0*j = w*j - o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 470893 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccllcllccclccc. What is prob of picking 2 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*l + 109903 - 488161 = 20*l. Calculate the highest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120348952 and 1324.\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b\/b**(-1))*((b\/(b\/(b\/b**29)))\/b)\/b assuming b is positive.\nAnswer: b**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Let s(j) = -2*j**c - 1 - 7 + 2*j + 2. Let v(t) = 2*t**2 - 2*t + 7. Let f(y) = -7*s(y) - 6*v(y). Find the second derivative of f(p) wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0*m + 1\/210*m**7 + 0 + 1\/40*m**6 + 1\/24*m**4 + 0*m**3 + 2*m**2 + 1\/20*m**5. Suppose f(o) = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - j - 4)*(-1 + 0 + 4).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -27 and -2099 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:55 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 11) in base 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2508 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -357 - -156. Let w = -131 - o. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 27 - 5 = 0. Let x be z\/6*((-1)\/2 - -2). Suppose -5*b + 2949 = 4*j - 587, -x = 2*b. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j - 4. Determine s(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let a(b) = 172*b**2 + 2*b + 18. Give a(c(x)).\nAnswer: 688*x**2 - 4*x + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 9:27 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/21)*a\/a**(-7))\/(a\/((a*a*a\/(a**(-5)*a))\/a)*a\/(a*a**0)))**(2\/83) assuming a is positive.\nAnswer: a**(584\/1743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**5 - 211*f**3 + 1618*f.\nAnswer: 60*f**3 - 1266*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 2:21 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oootozoraorzoatn. What is prob of picking 1 n and 3 o?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3.2. Let o(z) = z**3 + 8*z**2 - z - 4. Let w be o(-8). Suppose 3*d = w*a + 12, d = -a - 2 - 1. Sort 3, d, l in increasing order.\nAnswer: l, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-5*w + w + 2*w) + 3*w + w + 5*w.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 768116*o**3 - 1135743*o**2?\nAnswer: 4608696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73514 - 3?\nAnswer: 73511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + -4 - -7 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19106)\/(-1189) + (-12)\/174?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*s = -18 + 2938 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1845 + -201.8. What is x rounded to the nearest 10?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5393 smaller than -5390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 120*a**2 - 9600*a - 320000.\nAnswer: 4*(a - 50)*(a + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118657, 237119, 355581, 474043, 592505, 710967?\nAnswer: 829429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/11))**(-25) assuming g is positive.\nAnswer: g**(-100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.0243784?\nAnswer: -0.00243784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**3 - 18*n**2 - 124*n - 185. Let y be k(-10). Is 3253 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262320.\nAnswer: 2, 3, 5, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 221868 divided by 3\nAnswer: 73956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 52323 = -4*i - 52356, 4*b = -7*i - 59 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10524540 (base 6) in base 4?\nAnswer: -1032232230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(2 + (sqrt(2057) + (-1*sqrt(2057))**2 - ((-1*sqrt(187))\/sqrt(11))**2) + ((sqrt(51)\/sqrt(3) + -3)*2)**2) + -5.\nAnswer: -78*sqrt(17) + 12873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -7955*l**3\/6 - 6313*l**2\/2 - 2116*l. Find the first derivative of b(r) wrt r.\nAnswer: -7955","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179998831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/20 + (-2)\/(-8). Let c = -82 + 92. Let h = 10.08 - c. Put 5\/3, h, v in increasing order.\nAnswer: v, h, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.105 * 106.\nAnswer: -11.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (15\/36)\/((-287)\/4592)*-6*4\/(-16)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-36)\/(-72))\/(((-182)\/4)\/7).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3 (c) 22\/7 (d) 1\/8 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((0\/(-1))\/1)\/1)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1377 - 655. Let t = u + -4321\/6. Calculate the common denominator of 1\/3 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.88997 months?\nAnswer: 0.0001574975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/4 + ((-14850)\/(-20) - -1) is divided by 195?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 21 = -4*a, 0*p = -3*a - 2*p + 16. Let b be (-106)\/(-22) + (-2)\/(-11). Solve a*q - q = b, x - q = 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkgxkkggkkgkkkkg. What is prob of sequence ggkg?\nAnswer: 11\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 12) to base 16\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006036 to seven dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -502*h + 514*h + 96 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 10) + 3 + -7 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 66, 65, 64?\n\"Answer: -k + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/(sqrt(20) + sqrt(5)) + (sqrt(12) - -2*sqrt(1452)))*-2)\/((sqrt(210)\/(2*sqrt(7)))\/(sqrt(80)*2)).\nAnswer: -2240*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 7. Let q be h(-7). Let d = -12.2 + -1.2. Let y = 13.5 + d. What is the third smallest value in y, -4, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 1:00 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 + 36*b**2 + 40*b - 168. What is j(19)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -287579 + -16346\nAnswer: -303925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 176.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 + -162?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 + (-1392)\/64)*((-5031)\/(-567) + -9).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50821606127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 4 - 0 - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1631*g = -956*g - 14850 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 4385750, 4385839, 4385988, 4386197, 4386466?\nAnswer: 4386795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 5*t = 2808. Suppose 4*y = -2*j + 952, -t = -0*y - 2*y - 3*j. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 9 = -6*o. Suppose -240 = -12*j + o*j. Let p = 51 - 35. What is the greatest common divisor of p and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 z when three letters picked without replacement from zvzvzzzv?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r. Let v = 75 + -89. Let d = -0.169 + -0.031. Which is the nearest to r? (a) -2 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -1)\/((-3)\/2). Suppose -54 = -3*i + 2*u, 2*i + 6*u - g*u - 46 = 0. Suppose z = 3*v + 4*z - 12, -4*z = -v - 1. Solve v*o + i = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**3*g**4 + 31*f**3*g + 2*f**2*g + 69*f*g**4 - 2*g wrt g?\nAnswer: 48*f**3*g**2 + 828*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 4 = -2*z + z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -655786, -1311593, -1967400, -2623207?\n\"Answer: -655807*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r + 3*s + 90, 5*s - 130 = 3*r. Let d be 14\/r - (-6)\/15. Suppose 7*l + 1 - 8 = d. Solve q - 2*z = -z + l, 0 = -q - 5*z - 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -2, 131, 3, 33 in ascending order.\nAnswer: -7, -2, 1, 3, 33, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.74125 litres in millilitres?\nAnswer: 1741.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 1. Suppose 0 = -2*m + 3*v + 16, 0 = -m - 2*v - v - 10. Let b(c) = 1. Determine m*d(r) + 5*b(r).\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24795451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 611501 divided by -206?\nAnswer: -611501\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 8*g**2 - 14*g - 10. Let i be r(-6). Solve 8 = -i*o + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 24096985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + k + 20*k**3 - 27*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 - -1.6. Let g = -3.7 - 0.3. Which is the smallest value? (a) -1 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*g - 9. Solve 6 = -g*m - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015751474 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-24)*10)\/((-3)\/24). Let i(x) be the second derivative of 0 + x**2 + 1\/2*x**3 - 1\/20*x**5 + f*x + 0*x**4. Factor i(m).\nAnswer: -(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(77) - ((sqrt(77) - -5*(sqrt(77)*-2 - sqrt(77))) + sqrt(77)))\/((sqrt(132)*-2)\/sqrt(12)*1).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(416)*-1)\/(sqrt(40)\/(sqrt(10)\/sqrt(2)) + sqrt(8)))\/(2*-6*((sqrt(196)*2 - sqrt(196)) + sqrt(196))) + -4.\nAnswer: -4 - sqrt(13)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)*1)\/sqrt(12))\/(2*sqrt(1089) - sqrt(9)) + ((sqrt(9)\/sqrt(3)*6)**2 - sqrt(147)*-4).\nAnswer: 589*sqrt(3)\/21 + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -14*z - 5. Let h be g(-5). Suppose -2*a - h = -3*t - 2*t, -4*a + 2*t = 122. What is the tens digit of ((-24)\/(-9) - 3)*a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o - 2*o**4)*(2*o + 3 - 3) - 7 - 15*o**2 + 16*o**2 - 18*o**5 + 21*o**5 + (4 - 1 - 1)*(0*o**5 - 6*o**5 + 4*o**5) - 5 - 3*o**5 + 5.\nAnswer: -8*o**5 + o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98856309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*h + 10. Suppose -a = 4*a, -z + a = -2. Determine o, given that 2*o**5 - 4*o**3 - 1 + 2*o + 1 + h + z*o**4 - 4*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-395)\/(-450))\/(-79)*5.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6 - m**3 - 4*m**2 - 2 - m + 0 in the form v*m**2 + b*m**3 + h*m + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*r + 6 - 9 = 0, -5*q - r = -8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 9582 + 9580 = 0, 5*z = -5*y + 30 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798383 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4578181km to centimeters.\nAnswer: 45781.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1554.292 + -1554. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34938599, 34938600, 34938601, 34938602, 34938603?\n\"Answer: o + 34938598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/24 and -47\/6540309?\nAnswer: 52322472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2 + 1. Let o = -2 - -3. Let l be k(o). Let m = 11 - l. Solve -3*f = m*h - 27, 5*h = 5*f - 3 - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*v**3 + 1069917*v**2 - 13627876728*v + 5840322084.\nAnswer: -3*(v - 25474)**2*(7*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 4*a**2 + 5*a + 2. Let s be r(5). Let n be 0 + 2\/(-2) + -1. Let y be (s - (7 + n))\/1. Is -3 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nineteen quarters of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**5)**(2\/21)*x**(-14\/9)*x*(x\/(x*x\/((x**(-30)*x)\/x)))\/x)**39 assuming x is positive.\nAnswer: x**(-26975\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**7\/504 + 3*n**5\/8 + 5*n**4\/3 - n**2\/2 - 3*n + 5. Let p(u) be the third derivative of r(u). Factor p(o).\nAnswer: -5*(o - 3)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*f + 0*f = -19, 2*f = -z + 17. Suppose 0 = -4*h + 5*y + z, -h = -y - 2 - 0. Solve l + 0 - h = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12701279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21619693 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + -3 + 4.\nAnswer: 1 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/22*(-1)\/(-6). Let h = o + 29\/132. Are h and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t - 7. Let b be p(-2). Let y(f) be the second derivative of -2*f + 0 + 2*f**2 + 1\/3*f**b. Give y(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 7. Let h be y(-5). Suppose r + 13 = 4*o, 4*r = h*o + o - 28. Let k(x) = x**2 + 4*x - 2. List the prime factors of k(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2060 or 2058?\nAnswer: 2060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2418 is divided by 150.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 762 (b) -3\/2 (c) 0.1 (d) -0.4 (e) -10 (f) -1 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 5*t + 2. Let b(i) = -2*i**2 + 9*i + 10. Let s = 29 + -24. Let c be b(s). Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8934867 or 8934863?\nAnswer: 8934863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 5*r**2 - 6*r - 5. Let s be n(-4). Suppose s*x**4 - 5*x**4 - 8 - 249*x**2 + 259*x**2 = 0. What is x?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2766988, 5533941, 8300894, 11067847, 13834800?\n\"Answer: 2766953*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:38 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1\/2 (b) 296 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, 335, 1993, 5207, 10493, 18367, 29345?\nAnswer: 43943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c + 8. Let d(o) = 4*o + 7917 + 7915 - 15824. Suppose -8*z + 12*z = 12. Give z*d(h) - 2*t(h).\nAnswer: 2*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20747552807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1120 + 3943 - 145)*(-4*v**2 + 6*v**2 + 0*v**2)*(-2 - 1 + 2).\nAnswer: -9836*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -313 - 53?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1938 and 42415.\nAnswer: 4835310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8*y. Suppose -l - 156 = -3*w, -5*l = w - 3*l - 59. Let v = -52 + w. Give s(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 3:52 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173444163?\nAnswer: 3, 31, 60161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*i + 9, 4*z + i = -37 + 8. Let q be -3*(176\/z)\/4. What is the highest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3098790, -3098785, -3098780?\nAnswer: -3098775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -158\/5 and -32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**2 - 1592 + 1249 + 5*b**2)*(1 + 2 - 4) + (-4*b + 4*b - 4*b)*(-6*b + 5*b - 2*b) to r*b + k*b**2 + j and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*y = 637, -2*r - 5*y = -r - 184. Let p = -972 + 976. Suppose -73 = -0*v - v - 4*b, p*b + 86 = 2*v. What is the remainder when r is divided by v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9877 - 9936.03. What is c rounded to the nearest integer?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-200))\/(63\/(-1890)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 369? (a) 0 (b) -3 (c) -30 (d) 1\/7 (e) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -554090 rounded to the nearest one thousand?\nAnswer: -554000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 11*p - 18. Let b be m(-13). Solve -7*w + b = -9*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 10.5, 0, 8793.6 in descending order.\nAnswer: 8793.6, 10.5, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 23*q + 62. Let p be g(25). Suppose -256 = 8*f - p*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a + 2991 = p, 0 = -5*p - 4*a + 15039. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**6\/8 - 3*a**5\/20 + 3*a**4\/16 + a**3\/4 - 27. Solve k(s) = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15693 - 15506. Calculate the remainder when 301 is divided by d.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -1.59.\nAnswer: 17.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59633.77 centimeters in meters?\nAnswer: 596.3377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 3. Suppose -x*r = -7*r - 28. Let o = r + 12. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 3 = -p, -763*p = -7*o - 766*p - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -219, -369, -541, -729, -927?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9 = -1. Suppose j*s - 9 = s. Let r = -2 + s. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5378 a factor of 755086252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**4\/4 + 5*u**3\/3 - 4*u**2 - 5*u - 88. What is f(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.371 rounded to one decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfssf. What is prob of sequence sf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (4 + (2 + -8 - -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5 + 800*i**4 - 1606*i**3 + 804*i**2 = 0.\nAnswer: -402, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20820.25 take away -1?\nAnswer: 20821.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00196783646 rounded to seven decimal places?\nAnswer: 0.0019678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 4, s: 15}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98 and 1.32.\nAnswer: 129.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f - 6. Let c be n(-4). Let k(x) = -4*x**3 + 4*x**2 - 3*x. Determine k(c).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*y + 115 = -y, 3*h = 3*y + 150. Let c = -361 + 559. Suppose 9*b + 0*b - c = 0. What is the greatest common factor of h and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + (sqrt(143) - (sqrt(143) - sqrt(143)*1)))*-4)\/sqrt(11) + (sqrt(13) - (-2*sqrt(13) + -5)**2) + sqrt(117)*-1.\nAnswer: -30*sqrt(13) - 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -10. Suppose -q - y = -22. Suppose 8*x - 5*x = 30. What is the greatest common divisor of x and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -49. Let h = 262 + -74. Let q = h - 113. Calculate the remainder when q is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 62. What is the units digit of u\/(-4)*714\/63?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1088 + 2173 - 519*p**2 + 3*p**3 + 519*p**2 - 1085.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - 2*b + 0*b)*(-207 + 369 - 256) as j + l*b and give l.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 3.5, 0.4, 533?\nAnswer: 533","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85737?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyvjgqjy. What is prob of picking 1 v, 2 j, and 1 g?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20094*o**3*w**4 + 9*o**3*w**2 - 694988*o**3 wrt w.\nAnswer: -80376*o**3*w**3 + 18*o**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*o + 2*i, -404*o = -409*o + 5*i + 4 + 31 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -o + 139, -1841*o + 319 = 9*y - 1845*o for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/(-4))\/(-78 + 75) and 121\/174.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-36) - (-2 - (-1858)\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/379, 14, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 - 97. Put -1, 10, 2, j in ascending order.\nAnswer: -1, 2, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 - -0.6. Let y = q - -0.12. Let m = y + -0.5. Which is the closest to 0.1? (a) 0.02 (b) 2\/13 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 41 = 3. Suppose 4*b = 3*w - d, 3*b = -w - w + 26. Let k = w + -8. Solve k*i - s = 1, i - 18 = -4*s + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 113?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 12*l - 7*l, 0 = -4*o - 2*l + 180. Suppose -19*u + 128 + o = 0. Solve -u*m + 7*m + 6 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 11*h - 1. Let u(n) = 30 + 38 + 5*n + 31 - 133 + 33. Determine 3*b(z) - 5*u(z).\nAnswer: 8*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/7 in -16, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**4\/4 - 10*z**3 - 15*z**2\/2 + 10*z + 35\/4 = 0?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 2*o**2 + (-3*o + 4*o + 0*o)*(637 + 50*o - 637) as q*o**2 + c + d*o and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*3221.34.\nAnswer: -1610.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 975 and 15135?\nAnswer: 983775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 607, -3, -1 in descending order.\nAnswer: 607, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.24 - -7.06. Let j = w - 7. Let t = 0.3000001 - j. Round t to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-4)*a)*a*a**(1\/3)*a)\/((a\/a**26)\/((a**(-2)*a)\/a)) assuming a is positive.\nAnswer: a**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -62. Solve -g*k = -0*k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - sqrt(190)*2)*4 + (sqrt(190) - (sqrt(190)*-3 - sqrt(190)) - sqrt(190))*-1)\/(-1*-6*(sqrt(160) - -4*sqrt(160))).\nAnswer: -sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3082.29 rounded to the nearest 10?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 9:21 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y + 22. Let w be p(-5). Suppose -j + 5*j = -w*c + 1212, -321 = -j - 5*c. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611 (base 7) in base 9?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 247 = -263. List the prime factors of i.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 11 (b) 15 (c) 3 (d) 7\/3 (e) 2\/3 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 87 + (1 - (38 + 21))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182 by -13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/5 in 4, -4, -7.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -515 + 524. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -19) + -228 + 157 - -15.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37.3 - 37. Let u = 0.1 + -0.1. Which is the smallest value? (a) u (b) -1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffe when three letters picked without replacement from {h: 5, m: 2, f: 2, e: 8}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7042\/5205 + -34\/1735. Let v = -1.99 - 0.01. Let s = 0 + -4. Which is the nearest to v? (a) s (b) 2\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -6*b - 12, 5*q + b + 23 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d + 1. Let r(t) = -5*t**2 + 2*t + 1. Let y be r(-1). Suppose -5*i - 2 = 23. Let q(a) = -13 + a + 36 - 12 - 12 + 6*a. Give i*q(u) + y*l(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4\/6 + 53*i**3\/3 + 1123*i**2\/2 + 14758*i\/3 + 35344\/3 = 0.\nAnswer: -47, -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/72593 (b) 0.3 (c) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9491 - 9485. Let l(h) = -h**2 + h + 27. Determine l(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -1\/12*j**4 + 1\/30*j**5 + 15 + 0*j**3 + 0*j + 11\/2*j**2. Let v(g) be the second derivative of n(g). Factor v(x).\nAnswer: 2*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 20*l**3 + 3*l**2 - 30*l - 34. Is q(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.116, -79\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*q + q - 12, 0 = -2*q + b - 12. Let r = 10 + q. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1047*s**2. Let o(q) = -26*q - 1. Determine p(o(f)).\nAnswer: 707772*f**2 + 54444*f + 1047","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3033 is divided by (2\/(-1 - 1))\/(0 + 9\/(-99)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/324 and 125\/192.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 161 + 5668?\nAnswer: 5840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-20 + 6) - (-4 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*k - 71*k + 48*k - 12190 = 101*k for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5976513 is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10609029?\nAnswer: 3, 392927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*k = 3*k + 15, -4*f + 5*k = -25. Let a(n) = -n - n + n + f. Let l(t) be the first derivative of -t**2\/2 + 2. What is l(a(c))?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2400)\/(-52) - 1 - 10\/65 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5566785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = -9*j - 7*j. Let k(r) = -r**3 + 28*r**2 + 18*r - 31. Is k(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -0.5, 1\/3, 3, 42\/19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/7 - 802*g\/7 + 1612\/7.\nAnswer: -2*(g - 2)*(g + 403)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 822687815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b15 (base 16) in base 11?\nAnswer: -5233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 - 4 - 9*g**2 + 10*g**2 + 6 - 4*g**3 - 1 + 0 - g as f*g**2 + r + j*g**3 + k*g**4 + b*g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, 3\/2, -4\/7, 55 in ascending order.\nAnswer: -21, -1, -4\/7, 3\/2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 373313\/54 or 6914?\nAnswer: 6914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-q + 5*q - 2*q)*(-5 + 2 + 2) - 3 + q + 3)*(-3*q - q + 0*q) as z + n*q**2 + l*q and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) -2\/3 (c) -5 (d) -0.128 (e) -2\/29 (f) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -478 - -484. Solve -10 = -5*i, -a*h = -h + 5*i - 25 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 5 = 5*k. Suppose -3*w + k = -5*j, -2*w + 2*j - 6 = -0*w. Let l be (-59)\/(-68) + 6\/w. Sort l, 0.1, -5 in increasing order.\nAnswer: -5, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*z + 45. Let h = z + 8. Let x be (4\/(-25) + 0)\/((-110)\/(-25)). Which is smaller: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*b**2*z**2 + 10198231*b**2*z + 3*b*z**2 - 6838*z**2 wrt z?\nAnswer: 128*b**2 + 6*b - 13676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*s, -6 - 5 = -3*f - s. Let t(a) = -a**3 - 4*a**2 + 2*a + 8. Let j be t(-4). Find the second derivative of 4*r - 2*r - f*r**5 + j*r**5 wrt r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 12*x**2 - 7*x + 4. Is c(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127546528*m**5*r**2 - 10*m*r**2 + 331*m*r - 328 wrt m?\nAnswer: -2550930560*m**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/11 in -0.0173, -4, -0.2, -0.06, 2, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + 4*m + 13*m - 19*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(20)\/sqrt(4)))**2 + (sqrt(10)\/(-1*sqrt(2)))**2 + (sqrt(15)*1)\/sqrt(3).\nAnswer: -143*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + -1*(1*sqrt(17) - sqrt(17)))*-3*4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0*q**2 - 3\/70*q**5 + 0 + 3*q - 1\/147*q**7 + 1\/35*q**6 + 0*q**3 + 1\/42*q**4. Factor c(x).\nAnswer: -2*x**2*(x - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2513150, -5026314, -7539478?\nAnswer: -10052642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*z - 2, 5*z - 2*z = 15. Suppose -3*b = -n + 14. Is b greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26b5 - -1?\nAnswer: 26b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.94 - 0.06. Let t = a - -4. Sort 2\/11, t, 0 in descending order.\nAnswer: 2\/11, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 10242?\nAnswer: 4096.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5038, -9975, -14856, -19681, -24450, -29163?\n\"Answer: 28*f**2 - 5021*f - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**3 - 32*y**3 + 14*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1019059*g**5 - 2252*g - 278 wrt g.\nAnswer: 20381180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221719.2l to millilitres.\nAnswer: 221719200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*r = 1, 3*r + 24 = -4*i + 7*i. Suppose d - 4*z + 2*z = -3, 45 = i*d + 5*z. Calculate the greatest common factor of 10 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 22, 1, 2 in decreasing order.\nAnswer: 22, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 91100 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3358 divided by -73\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/(6\/63). Let u = 7 - -2. Suppose 0 = -x*r + u*r - 262. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95812658.\nAnswer: 2, 53, 571, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (10 + -13 + 10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/8 + 1\/2. Which is the closest to -1? (a) -5 (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 19*n - 8. Let q be y(-9). Put 2, 5, q, -6 in decreasing order.\nAnswer: 5, 2, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -8)*(-2)\/5. Suppose r*u - 35 = 2*m + 45, u + m - 20 = 0. Solve 16 = -u*v + 24*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85285*o - 2 + 2 + 84807*o to the form a*o + s and give a.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4689085, -4689083, -4689081, -4689079?\n\"Answer: 2*y - 4689087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*p + 72 - 899, 2*p = -2*x - 570. What is p rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - (3030\/(-69) + -4 + 450\/115). Solve 270 = -b*d + 21*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -232581 at most as big as -4419046\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19783*k = -19788*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000031130757 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/((-1)\/(-9)). Let l = j + 9. Suppose -3*g = -5*p + 131 + 49, -2*g = 2*p - 72. Calculate the greatest common divisor of l and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**4\/4 + 11*t**3\/3 - 15*t**2\/2 - 14*t - 17. Let j(a) = -a. Let k(p) = 5*j(p) - x(p). Calculate k(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 11*g**2 - 12*g - 17. Let d be f(-12). Let r be (-6 + 11)\/(((-1)\/d)\/1). Suppose -4*x + 150 = 14. What is the greatest common factor of r and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 9:57 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -516558 or -516557?\nAnswer: -516557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 - -144. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 5. Suppose -2*g + 0*g = 24. Let i be g\/(-18)*(f + 4). Solve 1 + i = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 179 in decreasing order.\nAnswer: 179, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1 - 11*i**2 + 3 + 2*i - 3. Determine c(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16987, 17063, 17139, 17215, 17291, 17367?\nAnswer: 17443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 94*v + 85. Let x(y) = y. What is x(s(q))?\nAnswer: 94*q + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 8, 2*h = w - 3*h + 92. Let m = 1046 - w. Is m a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 4. Let v be g(3). Let q be 3\/((-5)\/(-2) + -1). Suppose 0 = q*d + 10*d. Sort -5, d, v in increasing order.\nAnswer: -5, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*u**3\/4 - 34663*u**2\/4 + 2795*u\/2.\nAnswer: u*(u - 1118)*(31*u - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 3 = 2*w. What is the units digit of ((-12)\/9)\/(w\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 9*q**2 - 9*q + 12. Let k be d(9). Let n = 85 + k. Let p(s) = 14*s - 5. What is the remainder when p(6) is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/286272 and 83\/304.\nAnswer: 5439168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 2*u**3 + 0*u**3 - 3*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -608 - -1105. Let v = -295 + w. Calculate the remainder when v is divided by 34*((-1)\/2 + 2).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 10:59 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 276 = 4*f, -3*x + 136 = 125*f - 123*f. What is the least common multiple of 192 and f?\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 - (-35 + 8 - 15).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + s**2 + s - 123. Let f be d(0). Let w(v) = -82*v - 355. Let c be w(-7). Let x = c + f. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1657800\/1000*320\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 13*x - 31. Suppose 7 = y + 22. Let g be c(y). Let j(d) = -d**3 + d. Let l(b) = 7*b**3 - 6*b + 1. Calculate g*l(n) - 6*j(n).\nAnswer: -n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 5, 15, -2, -20 in decreasing order.\nAnswer: 25, 15, 5, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 1 = 3*s + x, -4*s + 5*x = -2. Suppose -1 = s*d - 7*d + 5*c, 2*d + c = -3. What is the nearest to 0 in d, -4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 6*x**2 - 22*x - 113. What is h(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**8\/56 - 119*l**5\/2 - 67*l**4\/12 + l**3\/3 + 55*l - 1. Find the third derivative of h(i) wrt i.\nAnswer: -120*i**3 - 7140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 3*y - 4*y. Let z be h(1). Let s(a) = 4*a - 6. Let u be s(z). Solve -b = -4*n - 15, 1 + 1 = -n + u*b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 6 - 13)*(-5 + 2*p + 5)*((-3 + 3 - 15)*(3*p + 2*p - 3*p) + (-p - 2*p + p)*(-2 + 1 + 5)) to v*p + q + z*p**2 and give z.\nAnswer: 1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-7)*3)\/(11 + (-23907)\/13104*6)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -3*i + 3*b + 25, -6*b - 19200 = -2*i - 19152 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 11:51 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177 - -182. Let i = 0 - -2. Suppose -15 = -3*m - i*m. Solve 0 = x*p - m + 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -1534 - 5616. Suppose 5*p - y = s + 2*p, 3*s + 5*p = -21464. Let u = s - -11120. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.0266l in millilitres?\nAnswer: 635026.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y + 11*y = 448. Let n be (-9)\/(-4) + 1\/(-4). Suppose 8 + 36 = n*a. Calculate the least common multiple of a and y.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0. Let t be 5\/((-1)\/5*7). Let p = 157\/42 + t. What is the third biggest value in l, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -1\/150*z**6 - 109*z + 0 - 2\/15*z**4 + 1\/10*z**5 - 1\/3*z**3 + 9\/10*z**2. Factor w(t).\nAnswer: -(t - 9)*(t - 1)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 155*a - 141*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 14*i**2 - 5*i + 5. What is the units digit of y(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157*x**5 + 5*x + 103.\nAnswer: 3140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*g - 28, -6*g + 2*g - o + 21 = 0. Solve 4*y + 20 = 3*m - 4, 2*y = -g*m + 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-301212)\/8367)\/((-18)\/(-20)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.1 + 27. Let m = 0.1 + l. Let b = -0.5 - -1. What is the biggest value in 0.4, b, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a**3 + 2*a**2 - 14*a - 2 = 0. What is a?\nAnswer: -1, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2 - 11334*j - 24740100 = 0.\nAnswer: -1683, 7350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 31 = -2*c - 3, 0 = -5*s + 5*c + 35. What is the third derivative of 33*z**s - 65*z**6 - 292*z**2 - 29*z**6 + 136*z**2 wrt z?\nAnswer: -7320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2 - 174380*u - 174382 = 0. What is u?\nAnswer: -1, 87191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327.\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 3 + 3 - -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/339066 and 5\/15939?\nAnswer: 3729726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-102 - 1) + (19\/(-114))\/((-5)\/60)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3052255?\nAnswer: 5, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247238 is divided by 125?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 108.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.33 - -40.67. Let y = 41.0565 - v. What is y rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121.8 - 122. Let n = 528 - 528.5. Which is the third biggest value? (a) u (b) 8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6164501 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 2. Suppose 2*o = 6*o - 20. Let n be k(o). Suppose 2*h - 60 = -n*h. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = s + 5*w, -2*s - 29*w = -33*w - 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 15*f + 53. Calculate j(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o*o\/(o*(o*o**(1\/11)\/o*o)\/o)*o*o))))**(-43)\/(o**(-1\/24)*o\/(o**20\/o*o)) assuming o is positive.\nAnswer: o**(26699\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 437.9 + -441.9. Which is the third biggest value? (a) t (b) 2.5 (c) 1 (d) -3 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3248 - 3242. Solve -4*q + 3*j = -1, -2*j + 4*j + x = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 d when four letters picked without replacement from {i: 3, d: 4, w: 9}?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-205))\/((540\/(-75))\/18).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 634179 and 897?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 664 or 663?\nAnswer: 663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -99.64 and -5461?\nAnswer: 5361.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000001111 + 11100100000111?\nAnswer: 11111100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microsecond in nanoseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 784083 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137418 and 11322?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 1\/56*c**8 + 0*c**3 + 0*c + 0*c**4 + 17\/60*c**5 + 10*c**2 + 0 + 0*c**7 + 0*c**6. Find the third derivative of u(b) wrt b.\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2 - -1) - -22. Suppose -2 = t + 4*u, -3*t + 7*t = -4*u - k. Let q(l) = l**2 + 6*l + 1. Give q(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 210 = 5*n + 3*b, 2*n = 5*b + 119. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3477737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + x - 1. Let m(j) = j**2 - j + 1. Suppose 0 = -4*h - 8 - 8. Let r(s) = h*g(s) - 9*m(s). Determine r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*(-35)\/98*152 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793*i**3 + 17*i + 19*i - 36*i + 4128*i**3.\nAnswer: 3335*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 - 4*q - 7. Is 12 a factor of l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - p**2 + p - 1. What is the units digit of u(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1131*d*s + 3442*d + 22599191*s wrt d.\nAnswer: 1131*s + 3442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7206827, -14413652, -21620475, -28827296, -36034115, -43240932?\n\"Answer: h**2 - 7206828*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -168, -219, -232, -195, -96, 77?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -555144*b**2*v**2 + 51*b**2 + 259*b*v + 4 wrt v?\nAnswer: -1110288*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*w + 268*w - 228 - 150 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 39, -37, -12, 29, -4 in increasing order.\nAnswer: -37, -12, -4, -1, 4, 29, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -599 + 576 - (-108246)\/4706. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p - 0. Suppose -p*t = 2*t - 24. Find the second derivative of t*h + 4*h**2 - 7*h + 5*h wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 874506 - 425189 - 61440. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/27)\/(1452\/594)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 28*h + 64. Let s be u(30). Solve -o - s*c - 10 = 0, o - 7*c - 8 = -2*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 2:37 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4\/11 (b) -2\/155 (c) 0.3 (d) 4 (e) 0.003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -430, 0.12, 4?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1431 + -1.5431. Which is the fifth smallest value? (a) -0.07 (b) 7\/4 (c) -0.3 (d) y (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 17 = -13*m. Is (1\/3)\/(m\/((-43116)\/(-4))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 9506\/6147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5\/3, 8, 0.123, 2\/9, 15, 0.4 in increasing order.\nAnswer: 0, 0.123, 2\/9, 0.4, 5\/3, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-65)\/2*12\/(-5). Let g = 166 - x. Let c = -63 + g. Put 0, 2\/9, 2\/3, c in descending order.\nAnswer: c, 2\/3, 2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2. Let h(t) be the third derivative of 0*t + 0*t**3 + 8\/3*t**4 + 0 + 63*t**2. Calculate x(h(m)).\nAnswer: 8192*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -472 + 494. Suppose x*z = 13*z + 972. Sort -3, z, 4 in increasing order.\nAnswer: -3, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/18*2*15. Suppose -2*g + 201 = 5*h, -g + d*g - 442 = -2*h. List the prime factors of g.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*m + z - 1, m = -5*z - 9. Let f(d) be the second derivative of 149*d**3\/3 + d**2 - 5*d. Let w be f(m). Round w to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d + 1. Let l(q) = 21*q - 14*q - 8*q. Suppose g + 0*g - 1 = 0. Suppose -5*u - 8 = 7. Determine g*a(t) + u*l(t).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1658603795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcmcfci. What is prob of picking 1 f and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2576*c*y**3 + 2234*c*y wrt y.\nAnswer: 15456*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 + 75. Let c be 16\/6 + 39556\/(-13398). Let d = -20 - -16. Sort c, 2, x, d in descending order.\nAnswer: 2, c, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/(-105))\/((-6)\/(-28)*-4). Which is the third smallest value? (a) -2\/3 (b) -2 (c) 0.5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834779?\nAnswer: 11, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -5 - 12) + -3 - -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/5*k**2 - 138\/5*k + 0 = 0 for k.\nAnswer: -138, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -337 + 333. What is the remainder when 2*214\/(-8)*w is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 61*o**2 - 240*o - 5. Determine l(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2508 and 45.\nAnswer: -11.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.87505 times -10\nAnswer: -8.7505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -679285 and -679285 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4106 - 4094. What is the remainder when 323 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y + 3*y + y + (-3 + 1 + 1)*(5*y + 2*y - 5*y) in the form t*y + s and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6 + 1)*3. Suppose 0 = -4*m - 5*b + 6142521, 3*m - 2*b + 3071258 = 5*m. Suppose -24464376 - m = i*g. Round g to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7577 = 17*s - 2436. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + w. Let u(g) = 5*g**2 + 3*g - 2. Let k = -3 - -3. Suppose -30 = -5*h - k. Let t = -10 + h. Give t*q(s) + u(s).\nAnswer: s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -113, 69, 279, 535, 855, 1257?\n\"Answer: 3*p**3 - 4*p**2 + 173*p - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 89, 104, 131, 176, 245, 344, 479?\n\"Answer: o**3 + 8*o + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 169\/(-8)*-6 + 8\/32 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 7.316, 30, -7\/5, 3\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -970 + 970.543. What is i rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d**2 - d**2 + d**2)*(2 + 5 - 3)*(0 - 1 - 2) in the form x*d + m + z*d**2 and give z.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -25884 bigger than -621233\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-12))\/((-1)\/(-6)). Let c(v) = -2*v - 4. Let l be c(p). Solve l*o - 1 = 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 760*r**5 + 7883*r**4 - 810818693*r**2 wrt r.\nAnswer: 45600*r**2 + 189192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1)\/z))**(13\/6)*z\/z**(1\/16)*z\/(z**(-1\/6)*z) assuming z is positive.\nAnswer: z**(365\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1118 or 3356\/3?\nAnswer: 3356\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*q - 26 + 2, 4*q = -2*h + 8. Let n(u) = 7*u**2 + 4*u**2 - u**3 + 6*u - 6 - h*u**2. Calculate n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211 + 217. Which is greater: -2\/109 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -20. Let j = 27 - p. What is the remainder when j is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3403 and -0.17779926?\nAnswer: 3403.17779926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w - 20\/3 + 3*w**2 + 1\/3*w**3 = 0.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187288 and 5065912?\nAnswer: 4568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z**2 - z - 1. Let j(v) = -6*v**3 - 12*v**2 - 12*v - 12. Give -j(i) + 12*q(i).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 7:43 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1064326*v + 922. Let r be z(3). Round r to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b - 132. Let l be q(-27). Let n = -276 - l. What is the second biggest value in -1, -3, 0, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8149 divided by -2514.\nAnswer: -8149\/2514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n = -2*l + 8, -3*n - 3 = -3*l. Let i(d) = d**2 - 10*d + 10. Let q be i(9). Which is the nearest to -2? (a) q (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**2 - 5694680*b - 2026836268900 = 0.\nAnswer: -711835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4669 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 12\/(-4) + 5. Suppose -7*m + t*m = -12. Suppose 5*w = -m*z + 35 + 12, 2*z - 6 = 0. Solve -w*j = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(1\/4))**32\/(l**(-1\/2)*l)**(-10) assuming l is positive.\nAnswer: l**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (142\/(-213))\/((-10)\/1)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3003, -3012, -3025, -3042?\nAnswer: -3063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -1 - (40 + -90 - -41)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 5111.9942677 and -9.3.\nAnswer: 5102.6942677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -785 + 785 - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*n. Suppose -z + 21 = -n*y + y, -2*y - 4*z = -36. Calculate the greatest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3583, -3585, -3583, -3577, -3567, -3553, -3535?\n\"Answer: 2*q**2 - 8*q - 3577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1049*u + 138*u - 1185*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 - 5*i - 5. Let w(h) = 3*h**2 + 6*h + 6. Let o(k) = 6*d(k) + 5*w(k). Let b(x) = -4*x**2. Determine b(o(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9591.\nAnswer: 3, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-3471)\/3468 - -1). Let b = d - 779. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -6. What is the units digit of d*(-5)\/(0 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-20) + (-14)\/(-5). Let f be (b - 2)\/(5\/25). Suppose r - f = -4*r. Solve r = 3*c - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 54.75602 weeks?\nAnswer: 383.29214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -20. Which is bigger: z or -27\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-five quarters of a microgram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)*-1)\/sqrt(5) - sqrt(11)*2*5)**2 - (4*-2*sqrt(11) - 6*sqrt(11)*-1).\nAnswer: 2*sqrt(11) + 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 36. Find the third derivative of -41*c**3 + f*c**2 + 23*c**3 - 10*c**4 + 18*c**3 wrt c.\nAnswer: -240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -51. Let m = c - 11. What are the prime factors of ((-24)\/m)\/(2\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 262, -4, -2, 2, -6, 5, -28 in increasing order.\nAnswer: -28, -6, -4, -2, 2, 5, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let r = 5 + t. Suppose -37 = r*v - 121. What is the least common multiple of 56 and v?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = 58. What is the highest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3\/7 + 50502*y**2\/7 - 7209*y - 605988\/7 = 0. What is y?\nAnswer: -3, 4, 16833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*h + 555*h + 23 + 37 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/15 + (-540)\/150*4\/(-6). Factor -1\/5*a**2 - q - 4\/5*a.\nAnswer: -(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((0 + (sqrt(605) - sqrt(605)*2))**2 + sqrt(605) - sqrt(605) - (3*(1*sqrt(5) - sqrt(5) - sqrt(5)) + 2)).\nAnswer: 3*sqrt(5) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -6. Let d = 186 + -127. Let i = n + d. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -303.5 and -6.\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 16 = 5*x, -h + 13 = 4*x - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 286.74 - 287. What is h rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*l + 168, -l = 3*g + 2*g - 12. Let u = 26 - l. Is u < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 12 = 5*n - 2*n - n + 2*u, -51*u + 88 = -167 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -1\/3*z**3 + 27*z - 3*z**2 + 0. Let t be j(0). Let u(v) = v + 1. What is u(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778288 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 + 170*n**5 - 3*n - 2 - 292*n**5 + n**2 wrt n?\nAnswer: -7320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37545 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 - 10*o**2 + o + 22. Determine g(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 48, 3, 0 in increasing order.\nAnswer: 0, 2, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k - 2*k)*(15 + 5 + 31)*(-k + 2 - 2).\nAnswer: 51*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - a**4 + a**4 + (-9*a**2 - 3*a**2 + 5*a**2)*(-1 - 2*a**2 + 1) - 3*a**2 - a**4 + 3*a**2.\nAnswer: 15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 915*-2\nAnswer: -1830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 646256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159105 is divided by 548.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 39.2. What is the third biggest value in u, 0.5, -2\/11, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let y(w) = -3*w**2 - 4*w**h + 4*w**2. Let n(t) = -3*t**2 + 2*t**2 - t**2. Determine n(y(q)).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**2 - 1347*v - 185. Let w(x) = x**2. Calculate f(w(d)).\nAnswer: 7*d**4 - 1347*d**2 - 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.86 - -0.9. Let o = -397 - -397.4. Which is the fourth smallest value? (a) 4\/9 (b) y (c) -5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 - 3*n**2 - 5*n + 4. Let i(r) = r**2 + r. Let o(x) = x**3 + 8*x**2 + 24*x + 26. Let j be o(-3). Determine j*q(t) - 5*i(t).\nAnswer: 2*t**3 - 2*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/25 (b) -0.5 (c) 0.06 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3 - 13\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 < 874844638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.810008 rounded to one dp?\nAnswer: 19.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 10 = 3*u, 12 = 3*p - 6*p. Let j be 0\/((-1*4)\/u). Suppose 3*f + r - 187 = j, -18 = -f - r + 45. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 489.98 + -489. What is the biggest value in 0, -3, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -445 - -449. What is the remainder when 261 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 3)*-4 + -5 + 3*sqrt(448))**2.\nAnswer: 272*sqrt(7) + 737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 12 + 19*l + 0 + 2*l + 0 + (6*l - 11*l - 2*l)*(-2 - 1 - 1).\nAnswer: 49*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = h - 13, -5*g - 5*h = -44 + 19. Suppose -2*c**4 + 8\/3 + g*c + 6*c**2 - 4\/3*c**3 = 0. What is c?\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((38776\/2358)\/(-37))\/((-2)\/(-171))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 17 - (-59 + 48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437, 891, 1367, 1853, 2337, 2807, 3251, 3657?\nAnswer: 4013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -436, 2 in increasing order.\nAnswer: -436, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164.87 + -8.27. Let x = 157 - z. What is the fourth biggest value in -2\/15, x, -6\/23, 4?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/171 at least -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**2 - a**3 - a - 15 + 10 + 13. List the prime factors of j(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 4*y**2 - 5*y**2 + (-3 + 2 + 0)*(-2*y**2 + 3*y**2 + y**2))*(48 + 158 - 52).\nAnswer: -616*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.445 + 23.36. Let o = 5 - b. Let i = o + -0.0849921. Round i to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (3 - (-3 + (-136)\/(-4))). Suppose 4*b = -c + 33. Determine s so that -15*s**b + 106*s + 107*s - 10*s**3 - 218*s = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6) + (-15 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5596.327 times -0.18?\nAnswer: -1007.33886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3 (b) -29 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/15)\/(g\/(g*g**0))*g\/(g*g\/(g\/(g*g**21)))*g**(-1\/4)*g assuming g is positive.\nAnswer: g**(-1279\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217085.\nAnswer: 5, 11, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036735 rounded to six dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j + 268. Let z = -2 + 27. Suppose -z = -2*x - 1. Calculate the smallest common multiple of x and d(61).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 19*p**2 - 1\/6*p**4 + 0 + 0*p + 1\/60*p**6 + 1\/30*p**5 + 0*p**3. Determine a so that c(a) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*w + 6*w + 28, -5*w = -4*i + 57. Suppose -i*q = 13 + 35. Does 12 divide (q\/(-4))\/(33\/1826)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 658*w**4 - 1509*w**2.\nAnswer: 15792*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 82*x = -67*x + 69, 0 = 11*w - 3*x + 57 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -17.614?\nAnswer: -17.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 17 = -0*s + m, -3*m = -5*s. Put s, -1, -4 in descending order.\nAnswer: s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66698701?\nAnswer: 17, 31, 67, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*s + 241*s - 104*s - 261*s**2 as l + h*s + k*s**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = 19*u + 31 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9537 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -487 - -492. Suppose 35 = 15*t - 13*t - l*v, 4*v = -t - 15. Solve 2*n + 12 = i, t*n + 0*i = 4*i - 33 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 10*y**2 - 3*y + 49. Determine s(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*m - 230, -2*m + 160 = 2*m - 2*h. Let f = m + 14. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5066 divided by -3.\nAnswer: 5066\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -4\/779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(0 - -2)*(8 + -2365) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjfjjfffv. What is prob of picking 3 f and 1 v?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00116307 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 21768044 and 3.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 2*z + 2. Let l be f(-2). Suppose 5*p + 37 = 2*g, 3*g = 2*p - 0*g + 6. Let a = p + l. Calculate the highest common factor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51636094, 103272212, 154908330, 206544448, 258180566?\nAnswer: 309816684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*s + s - 5 = 0, -2*s + 4 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - ((0 - -3) + -4)) + -37 + (57 - 29).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/20 and -7 + ((-13427)\/90)\/(-29).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31504, 63499, 95494, 127489?\n\"Answer: 31995*y - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1716)\/(-110)*5)\/(6*25\/15).\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, e: 1}. Give prob of sequence fe.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35\/26 + -2081\/1430. Let t = 238\/165 + p. Which is the smallest value? (a) t (b) 5 (c) -5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 1092*b + 120878. Determine h(-125).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 2*k**2. Let y be f(2). Suppose y = -4*v - 117 + 657. What is the highest common divisor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 1, 7, 17, 31, 49?\n\"Answer: 2*c**2 - 4*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-159)\/(-28) - (-24)\/(-56))*-8. Let t = 52 + p. Calculate the highest common factor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45\/2 of a tonne?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-48))\/(92\/(-24)) + (-285)\/(-897).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 - 400*o - 784 = 0. Calculate o.\nAnswer: -98, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.29 at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-858)\/(-16) + 571410\/(-217680).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**7\/5040 + 2*p**5\/3 - 27*p**2. Let z(s) be the third derivative of f(s). Calculate z(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*z + 25*z**3 - 3 + 34*z - 3 - 156*z**3 - 66*z**3 wrt z?\nAnswer: -1182*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + -6 - 15) + 3 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1014, 21146 in increasing order.\nAnswer: -1014, -2, 21146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r + 15. Let n(t) = t - 1. Determine -5*n(k) - s(k).\nAnswer: -k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 5. Let w be i(-7). Let b = -10 - w. Suppose b*u = -2*u. Sort -1, 3, u in ascending order.\nAnswer: -1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/6*1\/(5\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -1580, -3675, -6624?\nAnswer: -10427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5)\/(k\/((k**34*k)\/k*k))*k*k**34*k*k**(-13)\/k*k*k*k)**41 assuming k is positive.\nAnswer: k**(12054\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.5 + -4. Let z = 0.4 - 0. What is the third smallest value in a, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8479492.97148 + 0.5?\nAnswer: 8479493.47148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/(50\/35)*2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, j: 2, g: 1, b: 1, d: 1, o: 13}. What is prob of sequence djoj?\nAnswer: 13\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.6. Let q = 2 - 3. Let i = -2.8 - 1.2. Put w, i, q in descending order.\nAnswer: w, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-55))\/((-14)\/35)*9*-1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswqvssqswssqwwsw. What is prob of sequence ss?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44653458 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 169932 and 171241.\nAnswer: 244532148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 15 = -3*j, 0 = 3*i + 4*j + 1 - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + l - 30 = 0, -9*n + 90*l = 89*l - 40. Solve -3*v = n - 2, -4*g - 2*v = -6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k + 18. Determine q(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9859 - 19093 + 0*y**2 - 2*y**2.\nAnswer: -2*y**2 - 28952","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1277 is divided by 102.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.97073 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 5512 - 103 = 0. Let f = 606 - z. Solve p - f = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8498 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593108 is divided by 2461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from blxvkjk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/569064 and 143\/6288.\nAnswer: 1138128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 546\/65)\/((-14)\/(-5) - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, 0 in ascending order.\nAnswer: -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29905034?\nAnswer: 2, 73, 257, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*((-2)\/(-4))\/((-1)\/1). Suppose 5*r - 2950 = -3*t + 3432, l = -5*t - 4*r + 10641. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-24)*(-2)\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 244, 378, 612, 952, 1404, 1974, 2668?\n\"Answer: t**3 + 44*t**2 - 5*t + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a9278 (base 12) to base 7.\nAnswer: 4004312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323355747?\nAnswer: 3, 11, 13, 753743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -p + 8, 5*p - 2323*d + 2324*d = -14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbfffbf. What is prob of sequence bq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.016 - -0.065. Let o = t - -69.951. Let g = 69.9934 - o. Round g to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:51 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*a**2 + 13*a**2 - 106*a**2 - 59*a + 60*a.\nAnswer: -42*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.428003 meters in micrometers?\nAnswer: 9428003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4*k + 4*a**3*k + 93181*a**3 + 2447*a*k + 25*k wrt a.\nAnswer: 24*a**2*k + 24*a*k + 559086*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 1:28 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 23*t**2 + 4*t - 54. Let j(h) = 22*h**2 + 5*h - 64. Give 5*j(m) - 6*z(m).\nAnswer: -28*m**2 + m + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12489*s**3 - 2*s**2 - 6591*s + 6.\nAnswer: 74934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -9, 0 = -0*u - u - z + 165. Suppose -20 = -7*s + u. What is the remainder when 170 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 606, 1200, 1794, 2388?\n\"Answer: 594*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d. Let k(z) = z - 26*z - z - 6 + 14*z. Determine k(p(j)).\nAnswer: -84*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**3\/3 - a**2\/2 + 3*a - 1. Let l = 54 - 49. Suppose s + 3 = 2*t, 0*s + l*t - 27 = -4*s. Calculate b(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**4 + 63910*l**3 - 20*l**2 + 13756?\nAnswer: 72*l + 383460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 437981355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - -1. Let d = 6 + -9. Which is the closest to -1\/4? (a) 0.4 (b) d (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6715 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 - 1)*(73*f + 0*f + 156*f)*(1 + 2 - 6) to the form d + l*f and give l.\nAnswer: 2748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 31665. Let i(p) = 15*p**2. Calculate d(i(f)).\nAnswer: 30*f**2 + 31665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/4 + 33*k**3\/2 - 3*k**2\/4 - 33*k\/2.\nAnswer: 3*k*(k - 1)*(k + 1)*(k + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 5*r - 9 = 0, -200*i + 98*i - 4*r - 25 = -105*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d + 29*d = -40. Let v(r) = -d*r - r - 2*r. Let j(q) be the third derivative of -5*q**4\/24 - 15*q**2. What is v(j(b))?\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4960 + -4960.0000005321. Round f to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -0.093 (c) -1\/4 (d) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -12. Let l = -95 - -669\/7. What is the nearest to 0.2 in 1\/4, y, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 0, 164, -3, 3, -119, -1 in ascending order.\nAnswer: -119, -3, -1, 0, 3, 117, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - n**2 - n + 143. Let v be c(0). Let o = -82 + v. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16315124*s**2 + 32630251*s**2 - 16315129*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 3*o**2 - 287*o - 1354. Determine d(-5).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10228 - -10234. Solve a*o + 26*o = -224 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -r. Suppose r*d - 96 = -2*d. Solve 2*i + 2*i - d = 2*n, -3*n = -i + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319757 is divided by 45649?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/2607124 and 37\/4.\nAnswer: 2607124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/1821 and 103\/606786.\nAnswer: 368319102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8576.932 kilograms?\nAnswer: 8576932000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110111000011 (base 2) in base 10?\nAnswer: 36291","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 3401 - 3400. Which is smaller: g or -206?\nAnswer: -206","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 278, 783, 1276, 1757, 2226, 2683, 3128?\n\"Answer: -6*f**2 + 523*f - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 2:57 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5*g**5 + 75*g**4 - 350*g**3 + 550*g**2 - 375*g + 95 = 0.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-8))\/(26\/624). Let y be -5 + (-258)\/j + (-9)\/15. Sort y, -7, 5.\nAnswer: -7, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 + 6078265*v**2\/2 - 9236311156875*v\/2 - 46181707741125\/2.\nAnswer: -(v - 3039135)**2*(v + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.789736295 rounded to four decimal places?\nAnswer: 0.7897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 0 - (20594\/(-490) - (20 - 54)).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3538329 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 19 + 9 + 14*k**3 - 13*k**3 + 20*k**2. Let z be v(-20). Suppose z = 5*y + 2*y. Solve 4*q - r = -3*r, -y*q = -5*r - 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10631, 36418, 77365, 133472, 204739, 291166?\nAnswer: 392753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z - 6*z + 13*z)*(-z - 1 + 1) + 926 - 926 - 35*z**2.\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4992\/(-16))\/(-13)*1\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319883900 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-13 - (-2 - -1 - 2)) + (269 - 238)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 14. Let p be k(6). Calculate the remainder when 5 is divided by (p - 0\/1)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1608 and 325821.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -756630 divided by -6.\nAnswer: 126105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2643 (b) -0.28 (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**5\/20 - y**4\/12 - 4*y. Is 6 a factor of x(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:56 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 3*u + 2. Let l be p(2). Suppose -5*n + t = 13, l*n + 0*t + 5*t - 7 = 0. Put n, -4, -5 in descending order.\nAnswer: n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2299\/8 + -287. Let l = 600 + -602. Which is the closest to 0.04? (a) z (b) l (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 119 = 486*i - 382 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {q: 7, j: 10, c: 1}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1653 and 359107?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -1\/547775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 0, 4\/25, 2\/13, 0.04.\nAnswer: 0, 0.04, 2\/13, 4\/25, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - b2?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2969, 23596, 79597, 188660, 368473, 636724, 1011101, 1509292?\nAnswer: 2148985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255 + 257. Which is the nearest to -1? (a) x (b) -0.2 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 193876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299921621 to the nearest integer?\nAnswer: 17318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*2\/(-1 - -5). Let m(y) be the third derivative of 0*y**r + 0*y - y**2 + 0 - 1\/12*y**4. Give m(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*s + 9, 2*t + 2 = -5*s + s. Suppose -2*m - 4 = 2*m. What are the prime factors of 17\/(s\/(-1)) - m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 2 + 2*t)*(2 - 3 + 2)*(0*t - 13*t + 10*t).\nAnswer: -6*t**2 + 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/5 in 0.3, 13, 5\/3, 4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(396) - (sqrt(396) + 0))**2 - sqrt(396))*2 + -5*(-2*-4*sqrt(704) - sqrt(704))**2.\nAnswer: -172490 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6773.935 to the nearest one hundred.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 14*c + 6. Let i(m) = 67*m**2 - m - 3. Is i(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 39*n**3 + 434*n**2 + 1044*n + 648.\nAnswer: (n + 1)*(n + 2)*(n + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 3*p**2 + p + 3. Let q be z(3). Let x be (-46)\/(-5) - (-7)\/(-35). Suppose -2*n = -m - x, m = -m + q. Solve 9 = 5*u - n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1023536)\/(-324360))\/((-4)\/(-90))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-17)*v**(-3\/13)\/v)\/(v**(-2\/45)*v\/(v\/(v\/v**(-4))*v)))**(21\/8) assuming v is positive.\nAnswer: v**(6559\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8*m = 0. Differentiate 4*x - 13 + m*x - 7*x wrt x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20055545.\nAnswer: 5, 19, 107, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -8*x**3\/3 + 3*x. Let h(i) = -81*i + 261*i - 77*i - 98*i. Give h(y(v)).\nAnswer: -80*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s + 2. Let p = -7 - -9. Determine q(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w - 4. What is the third derivative of 795*j - 795*j - 16*j**4 - 12*j**w wrt j?\nAnswer: -384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 15*c + 4. Let m(j) = -j + 20. Let a be m(10). Suppose -a = -s - s. Is d(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 7*z = 8*z + 9, 3*m - 3 = -2*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-54)*3)\/((-54)\/810).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 11:43 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6926, -13859, -20802, -27761, -34742?\n\"Answer: -q**3 + q**2 - 6929*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7370, 3\/2, -20, 3 in decreasing order.\nAnswer: 7370, 3, 3\/2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1 + 0 - 8*w + 7*w. Suppose 0 = 4*d - 11 - 1. Let s(a) = 1. Let r(o) = d*s(o) + p(o). What is the derivative of r(m) wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12370 and 4948.\nAnswer: 24740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - s - 6, -3*f + 0*s - 4*s + 14 = 0. Solve -h - f = -0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + i - 82, -5*i + 6*i = 2. What is the greatest common factor of 28700 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + g + 0*g)*(-41*g - 11*g + 0*g)*((4 - 4 + 1)*(23 - 23 - 2*g) + 4*g + g - g) in the form l*g**3 + x + q*g + d*g**2 and give l.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.6 - 2.2. Which is the biggest value? (a) -3 (b) 0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/43001291 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -546, -543, -538, -531, -522, -511, -498?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2 + 3 - 4 + 0 + (3 + 1 - 2)*(0 - 1 - 1) + 2 - 5 + 2 + 0 - 5 + 3)*(-3*c + 0*c - 5*c).\nAnswer: 56*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 21*b**2 + 61*b - 63. Let s be z(18). What is the highest common factor of s and 702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -93*(-43)\/(-387)*-3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2322 and 125\/47358?\nAnswer: 2036394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.88 + 0.12. Let w = m + -16.86. Let z = -0.27 - -2.27. What is the nearest to w in 3, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.19906 - 0.00094. Which is the fourth biggest value? (a) -1 (b) z (c) -22 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 138? (a) 2\/3 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.4 (c) 3 (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + l - 14. Determine z(6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/8616 and -7\/160.\nAnswer: 172320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3. Let p(q) = 2. Let t(x) = -3*o(x) + 4*p(x). Let m(h) = 7*h + 17. Let r(s) = -m(s) + 6*t(s). What is the units digit of r(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -917503 and -1.2.\nAnswer: -917504.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 1 + -4 + 5. Is 3 a factor of 4*(1 - -3) - t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 5 + -1 + 2 + 8 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = m - 187, -2*u + 86 = 2*m - 0*m. Calculate the remainder when u is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**5 + 0*v**5 + 2*v**5 + (-5*v**2 + v**2 + 2*v**2)*(-119*v**3 + 16*v**2 - 16*v**2) + (1 - 1 - 3)*(-v**5 + v**5 - 2*v**5).\nAnswer: 243*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12367917*b**4 - 73935*b**2 + 96*b wrt b.\nAnswer: -296830008*b","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*b = 2*b + 23, 0 = 3*v - 2*b - 19. Suppose n - 127 = -4*y - 0*y, v*y - 2*n - 87 = 0. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 4*u - 14, 2*o - 2*u = 10. Suppose 0 = -o*x + x - 390. What is the common denominator of (-167)\/42 + (x\/(-12))\/13 and -41\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 653, 653, 651, 647?\n\"Answer: -o**2 + 3*o + 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15361, 15373, 15385, 15397?\n\"Answer: 12*m + 15349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.034 nanometers in kilometers?\nAnswer: 0.000000000356034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 10*j + 137 = 4*w + 3*w, 0 = 5*w + 3*j + 11 + 23 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 609\/56 + 1\/8. Suppose -i - 19 = -5*u. Suppose u*l = l + 700. Does 28 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -732 divided by -388833\nAnswer: 244\/129611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 10:38 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*d + 8. Suppose 3*m = d*v - 5, 0*v = 5*v - 4*m. Suppose -y - 6 = -v*b, -2*b + 15 = 4*y + 3. Solve -2*f + 9 = -f + y*o, f = 5*o - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328161683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**3 - 16*f**2 + 28*f - 71. Let u be r(3). Solve -5*m - 2 = -3*d, -d + 6 = -u*m + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 50*a**2 - 710*a + 1225. Calculate t(13).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(3) + -5 + (sqrt(3) + 5*(sqrt(3) + 1))*-3)**2.\nAnswer: 440*sqrt(3) + 763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 7 - (-3 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {s: 1, h: 4, y: 1, e: 1, w: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6470221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + h = -2, h = -4*s + 7 + 3. Is (1173 - -22)*s\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 211, 3, -0.2 in increasing order.\nAnswer: -0.5, -0.2, 3, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 4:33 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11124 is divided by 3698.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 373 (b) 2\/9 (c) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -39. Let g be n - 6 - (15 + 0). What is the units digit of ((-306)\/g)\/((-6)\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\/(-9)*4\/4\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 574 divide 3376109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from qqotq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(4*10\/(-24280))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20*((-9)\/(-6))\/3. Suppose 9 = r*i - 7*i. Let h = 0.74 - 5.74. What is the smallest value in -1\/2, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3, -3*y - 5*p + 245 = -y. Let q(c) = c**2 + c + 52. Suppose 0 = -5*f + 2*f. Let j be q(f). What is the greatest common factor of y and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 115*o**2. Let y(i) be the first derivative of 7*i**3 - 928. Determine y(f(x)).\nAnswer: 277725*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10278 (base 11) to base 13\nAnswer: -6a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7621323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.888 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1 - -2)\/1)\/1. Let t = 10826 + -10812. Solve t = -5*s - p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c**2 + 1033*c - 4127. Determine r(-133).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.996086 to two decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349196 is divided by 174593.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k - 2*p + 95077 = 94619, 0 = 2*k + p + 32 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v, 2*m - 10 = 2*v. Let y = 40 - 38. Sort 1, m, y in increasing order.\nAnswer: 1, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 86 - 9d2?\nAnswer: -94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000613347527 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryymrrymkbp. What is prob of sequence yy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1595600 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:39 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.3 + 1.3. Let o = s - -9. Let y be (2*-1)\/(1*5). What is the third smallest value in 1, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-10)\/v)\/v**(-5\/7))**(-33)*(v**3*v*v**(-6\/11))\/(v**(-2\/5)\/v**(4\/7)) assuming v is positive.\nAnswer: v**(18912\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 4*f = -2*j - 20, f = 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 94*q + 3777. Let m be i(-8). Is 3025 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 3*n**2 + 4*n**3 - 7*n**3 as f*n**2 + d + s*n + t*n**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2436674*g**3 - 30317285*g?\nAnswer: 14620044*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 5:47 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7. Let h = -1 + r. Is h\/((-78)\/75 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 370 + -369.9572. Let p = k + -0.157. Round p to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**6\/40 - 13*u**5\/60 - 135*u**3 + 11*u**2. Differentiate h(k) wrt k.\nAnswer: -9*k**2 - 26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r + r - 23*r - 12*r to the form n + k*r and give k.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 18 (c) -80 (d) 2\/9 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1117*z = -770*z + 1187*z + 239*z - 90423 for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d = -0*d + 70 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5*sqrt(147)*1 - sqrt(147) - (sqrt(147) - -2*(sqrt(147) + 1)) - (sqrt(162)*-4)\/(sqrt(24)*2)))**2.\nAnswer: -60*sqrt(3) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 5) in base 11?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 5, -5, 10.\nAnswer: -5, -2, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 5, 17, 27, -571, 1 in increasing order.\nAnswer: -571, -2, 0, 1, 5, 17, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 23*j**2 + 88*j - 35. Determine g(-13).\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-14) - (-16)\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + 20. Suppose 0 = -0*b - 2*b + 24. Let t = b + -1. Calculate the remainder when g is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -2872509?\nAnswer: -14362545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002653 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 47*o**3 - o**2\/2 + 2*o - 1. Is q(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4441 - -4457. Solve -68 = i + c*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 20*q**3\/3 + 105333712*q**2\/3 + 46229954993164*q - 18491987615064 = 0.\nAnswer: -2633343, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1227700118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-73830)\/54 + (-4)\/(-18). Let v = h - -2813\/2. Find the common denominator of 139\/18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - y**2 + 0*y**2)*(2*y**2 - 2*y**2 + 3*y**2) + 19*y**4 + 31*y**4 - 7*y**4.\nAnswer: 49*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 618502811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g**2 + 11603*g + 603*g - 4*g**3 - 2707*g + 3*g**5 - 114*g**3 - 38*g**3 wrt g?\nAnswer: 60*g**3 - 936*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49566450 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*k + 5. Let z = -13 + k. Which is the nearest to 1\/3? (a) -5 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 2*o - o)*(-12 + 5 - 5)*(-o + 3*o + 0*o) to d + u*o**2 + y*o and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 55 = -273. Suppose l = -j + 1410. Let f = 2233 - l. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*(-5)\/(3675\/(-30)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 95 = -37. Calculate the remainder when 173 is divided by i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 22*i - 993. Let k(h) = 21*h + 2. Calculate o(k(w)).\nAnswer: 462*w - 949","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16336, 35943, 55550, 75157, 94764, 114371?\n\"Answer: 19607*h - 3271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*b + 316, -b = b - 3*w - 122. Let x be 531\/(-12) - 6\/8. Let y = b + x. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(2*sqrt(960) - (sqrt(60) + (sqrt(60) - sqrt(4860)*2 - sqrt(60) - sqrt(60)) + sqrt(60)))\/(6*sqrt(588)*1).\nAnswer: 25*sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16558 at most 16558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.006 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-61)\/(-2) + 2\/(-4). Let z be 2\/a*(-10)\/(-4). Let x = 1\/2727 + -5459\/13635. What is the closest to -0.1 in x, z, 4\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 1\/(-1) - -6. Suppose w = -0*w + u, u + 9 = b*w. Calculate the remainder when (1 - 4)\/(2\/(-6)) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 50*z**3 + z**2 - z - 1. Calculate f(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 34, 7, -2.\nAnswer: -2, 3, 7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:22 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -74979, 253, -1, -5 in decreasing order.\nAnswer: 253, -1, -5, -74979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*-704735.\nAnswer: 84568.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 5, 5\/2, 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 2, 3, -3 in descending order.\nAnswer: 21, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 169557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4 - (-19 + -9 + 21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 6\/(-8) + (-1)\/4. What is the derivative of -6 + 1 - 3 + 4*v**2 - 8*v**3 + 0*v**l wrt v?\nAnswer: -24*v**2 + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 + -5.6. Let o = -7 - u. Is o greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 653*c**2 - 382*c**2 - 282*c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 48*y**2 + 47*y - 95. Let n be d(-49). Solve 3*h = 12, -4*c - 25 = -3*h + n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31690 plus 18.96707?\nAnswer: 31708.96707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 319353589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m. Let a(v) = -1 + 1 + 80*v**2 - 82*v**2. What is y(a(n))?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azqxw. Give prob of sequence xzq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -23, -74, -173, -338, -587, -938, -1409?\nAnswer: -2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*-51\nAnswer: -71.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9 = 5*h, -6*h + 6 = -3*h + 2*c. Suppose h = -2*j - 3*j + 5. What is the highest common divisor of 9 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 16*k. Let x(g) = 19*g. Let p(q) = -5*x(q) + 6*y(q). Let r(b) = 276*b. Give r(p(m)).\nAnswer: 276*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 760982*o - 9. Let d(b) = -2*b. What is u(d(v))?\nAnswer: -1521964*v - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (0 + -2 - 2). Let p(y) = 6*y**2 + 3*y + 3. Let s(d) = -18*d - 5 - 11*d**2 + 5*d + 8*d. Calculate z*p(m) - 3*s(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1255.1 + -1263.199. Let w = 8.1 + h. Let q = w - 0.501. Which is the fourth smallest value? (a) q (b) 1\/3 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d. Let v(y) = 4*y - 2*y - y. What is v(h(s))?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19926 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + -5. Let g = -58.3 - f. What is the closest to -1\/3 in 0.2, -5\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1234540 to the nearest ten thousand.\nAnswer: -1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j**2 + 6042*j + 592382. Calculate d(1097).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 116 = 3*w. Let v = 30 - w. Let d be ((-96)\/(-15))\/(2\/10). Solve -3*b = 4*a - d, a = 2*b - 2 - v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1831262.98 plus 178?\nAnswer: -1831084.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 97*k**3\/3 - k**2 - k + 9. Is o(-1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(448))\/(sqrt(8)\/sqrt(2)*4))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2 + 296*s + 10952 = 0.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 0*m - 4*m + 16, 3*v - 3*m + 12 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*(l*l\/((l**8\/l)\/l)*l)\/l*l*l)))**(2\/45)\/((l\/l**(-2))\/((l*l\/(l\/l**(2\/3)))\/l)) assuming l is positive.\nAnswer: l**(-107\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.3 - 16.12. Which is smaller: y or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 174041852.19 and 13.5.\nAnswer: 174041865.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.2 + -12. Let l = f + -0.2. Let u = 34948 - 34946. Is u < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 - 9*l + 1. Let q(w) = 3*w**2 - 6*w + 1. Suppose 5*r = 2*r - 21. Give r*q(x) + 5*k(x).\nAnswer: -x**2 - 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-148)\/(-18) + (-2)\/9. Let q = 27 - f. Suppose 4*y = 61 + q. Solve 4*a + 25 = k - a, y = -4*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285353, 1141199, 2567621, 4564625, 7132217, 10270403, 13979189, 18258581?\nAnswer: 23108585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*x = 3, 7*l - 2*x - 51 = 2*l. Let a be 39\/l - (-6)\/9. Solve 3*n - 19 = v - 3*v, -a*v = -4*n - 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 17. Let c be (-1)\/(117\/57 + -2). Let o be m(c). Sort 5, -1, o in ascending order.\nAnswer: -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -62. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, -11, -25?\n\"Answer: -14*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/360 - (-156570)\/3400\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 3*p**2 - 143 - p**3 - 4*p**2.\nAnswer: -p**3 - 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in -0.5, -0.3, -2\/3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 12. List the prime factors of (t\/(-3))\/(3\/(-54)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -9978?\nAnswer: -997a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(-2 + sqrt(475) + 1 - (sqrt(475) + -1)*6 - (sqrt(475)*2 + -1 + 3 + 1 + sqrt(475))))**2.\nAnswer: -4000*sqrt(19) + 760103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -3, 2\/11, -3\/2, -5\/72 in decreasing order.\nAnswer: 2\/11, -5\/72, -1\/5, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2*o**2 - 2*o**4)*((4 - 4 + 1)*(0*o - o + 2*o) + 10*o + 6*o + 5*o).\nAnswer: -44*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-6 - -21) - (0 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from {s: 3, o: 2, m: 1, h: 5, e: 5, l: 4}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -266 - -247. What is the nearest to g in -1, -2\/7, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:26 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11))**(-3)*(v*v\/(v\/(v*((v\/(v\/(((v*v\/v**(-2\/17)*v*v*v)\/v)\/v*v)))\/v)\/v))*v*v)**44 assuming v is positive.\nAnswer: v**(50438\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 141*h**3 - 2*h**2 + 8*h - 8. Let n(d) = -70499*d**3 + 1001*d**2 - 4004*d + 4004. Give -4*n(s) - 2002*x(s).\nAnswer: -286*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**3 + 5*w**3 - 115 + 53 + 7*w**3 - 4*w**3.\nAnswer: -2*w**3 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -460\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.4 + -6. Suppose 426*w + 2050 = 16*w. Let z = 13 + -12. Which is the closest to z? (a) w (b) h (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336388 is divided by 473?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**5\/60 + 7*i**4\/24 - 2*i**3\/3 - i**2. Suppose 0 = h - 3*d + 6 - 0, 5*d - 18 = -h. Calculate l(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 2. Suppose -l*h + 2*h + 18 = 0. Calculate the remainder when h is divided by 2\/9 + 102\/27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8301708.\nAnswer: 2, 3, 19, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (-4 + sqrt(539) + 5))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*s + 20, 0 = 43*s - 39*s + 8. Let h(y) = 74*y**2 + 8*y - 8. Let v(w) = -25*w**2 - 3*w + 3. Calculate j*v(z) + 3*h(z).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5177159347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (6 + -12 + 14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 234\/4 - (-1)\/(-2). Let y be -16 - (-13 + -17 + -2 + 16). Put 1, y, k in descending order.\nAnswer: k, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1078 + -3235\/3. Let v = 14 - 7. Let p = v - 6.9. Which is the biggest value? (a) 1 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 475*x**2 - 24698*x - 68. Give j(52).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -118.3 to zero dps.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25674 + 32715. List the prime factors of l.\nAnswer: 3, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 15 + 0*r - r - 3*r + 3*r. Let t be j(12). Let f = 3 - -2. Solve -f*v - 2*b = -35, -t*v - 4*b + 5*b + 10 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 648 + -648.08. What is the second biggest value in -3\/4, f, -2\/9, 16?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333646 is divided by 12832.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**4\/12 - 4*j + 2. Let y(i) be the first derivative of u(i). Factor y(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2539*f - 2540*f - 3 = 0, -3*v + 4*f = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*q + 1, -4*r + 4*q - 20 = 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/53489603 - 112595564545\/532435508262. Let g = 1424\/562401 + 2\/7119. Let u = t - g. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 644 and 1694.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5725583 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33592 by -1976.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*k + 7*g - 34 = 289*k, 9 + 1 = 2*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22484160 is divided by 1597.\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1769 - -1775. Solve -4*z - f*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 3}. Give prob of picking 1 t and 1 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39.072 + 39. Let q = l - -7.172. Let v = -6.9 + q. Put 3, v, -13, -2\/15 in decreasing order.\nAnswer: 3, v, -2\/15, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41121, 82258, 123395, 164532, 205669?\nAnswer: 246806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d - 33*d = -5. What is the remainder when (2\/(-3))\/((-6)\/27) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1\/3. Suppose 0*n + 5*n = -20. Let w be n\/(-16) + -1 + 1. What is the closest to k in -0.4, w, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.3, -2, 1.6, -40843?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 30*o + 8. Let c be n(-32). What is the greatest common divisor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 + 56*w**2 + 6266*w\/5 + 38532\/5.\nAnswer: 2*(w + 13)**2*(w + 114)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((1\/(-5))\/(-1)). Let x = m + 4. What is the units digit of x\/(-3) + (-8)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36962420523 take away 0.1?\nAnswer: -36962420523.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 7740\/(-525) + 84\/(-588).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(2*a + a - a) + (0 - 3 + 4)*(0*a - a + 2*a) - 2*a + 6*a - a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241202 (base 5) in base 12?\nAnswer: -12260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**4\/6 + a**3 + 28*a**2 - 194*a. Suppose l(g) = 0. Calculate g.\nAnswer: -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6786 divided by -87?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from bbvvmvvvbvvvvbvvb?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -61 - 64 + 125 - 2*d. Let q(x) be the first derivative of x**3\/6 + x + 1. Let n(m) be the first derivative of q(m). What is n(b(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -3 - (-180)\/(-360). Let i = -19\/14 - 1\/7. Which is the smallest value? (a) i (b) -1 (c) v (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 - 950*f - 2. Let d(z) = 6*z. Calculate g(d(b)).\nAnswer: -108*b**2 - 5700*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 20\/13 (c) -0.1 (d) 140\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f**3 - 8*f**2 - 13*f + 31. What are the prime factors of x(-6)?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 34. Let v(s) = -46*s**3 - 2*s**2 - s. Calculate the remainder when v(-1) is divided by u(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/18 + 3\/108. Let t = 37\/22 - 3\/2. Let w(f) = f**3 - 5*f**2 - 5*f - 7. Let i be w(6). Put t, c, i in increasing order.\nAnswer: i, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 a factor of 84659235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56751229?\nAnswer: 37, 1533817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 432429*v**6 + 16*v**2 + 14776?\nAnswer: 51891480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 77. Let l be (12\/1)\/2 + k + -13. Suppose h - 6 = -0*h. Solve l*d + h = 8*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 g when four letters picked without replacement from kllwlgeglweegewgeg?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 550 + -549.9. Is 1485 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2. Let u be m(1). What is the least common multiple of ((-2)\/u - 1)*(-4 + -8) and 7\/(21\/30) + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 11*t**2 + 0 + 0*t**4 + 2\/1155*t**7 + 1\/660*t**6 + 0*t**3 + 0*t**5 + 0*t + 1\/1848*t**8. Factor w(x).\nAnswer: 2*x**3*(x + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144790000 rounded to the nearest 1000000?\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 6. Which is the closest to 1\/3? (a) 5 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-5))\/2*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211929 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 110?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12535386.\nAnswer: 2, 3, 2089231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65942964 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 76492?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27185\/21748*-52*1?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/((-99)\/27) - -32. Solve n = 5*u + 3*x, -x = u - 2*x - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -169 - -449. Suppose 3*l - w = -l. Suppose 5*k + 0*k - l = 0. Calculate the greatest common divisor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4277330316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 348 - 345. Suppose -26*j = -23 - a. Which is smaller: j or 19\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/34 (b) -2 (c) 1\/101 (d) -1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 0*n**3 + 1\/6*n**4 + 0*n**2 + 0 + 6*n. Let i(l) = -13*l**2. Calculate i(y(s)).\nAnswer: -52*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4485*x - 16 + 7003*x - 13682*x + 17 in the form c + v*x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 10*s + 5. Let l be w(-10). Suppose -l*y = 2*n + n + 12, 4*n + 16 = -3*y. What is the tens digit of (-2904)\/(-77) - n\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21560\/(-42))\/22*132\/110.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -829, -2496, -5275, -9166, -14169?\nAnswer: -20284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 789*t - 15906.\nAnswer: -3*(t + 22)*(t + 241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 64.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + q**2 - 9*q + 6. Let v be b(3). Let i(l) = -23*l + 37. Let x be i(v). What is the tens digit of 4*((-1375)\/x + 2\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54012330 (base 6) in base 3?\nAnswer: 2222200112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 34*p + 240. Let n be r(24). Factor n + 2\/9*f - 2\/9*f**2.\nAnswer: -2*f*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2680 - 5715. Let i = -1054 - x. Suppose -n + 3*n + 5*c - i = 0, 0 = -5*n - 4*c + 4961. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-64)*8\/12. Let m = t - 67\/96. Let o be (-10)\/(-36) + (-3)\/6. What is the third biggest value in o, m, -3\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 0.826366798.\nAnswer: 5.826366798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 + 12)*(-5*k**4 + 3*k**4 + 4*k**4 + (k**4 + 3 - 3)*(19 - 17 - 8)).\nAnswer: -88*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5380.\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o + 31. Let j be t(7). Suppose -8*u - 25 + j = 0. Solve 0*n - 3*n - 4*k = -18, 2*k = u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67444 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -482183884 or -482183883?\nAnswer: -482183883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 351 - 357. Calculate the remainder when 305 is divided by (-464)\/w - 40\/120.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 34?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a micrometer in nanometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1190808830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 786 = 3*d, 4*h = h + d + 336. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392 and 72.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - w**2 - 31*w - 31. Calculate q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -11*u**3\/3 - 6*u + 186. Let i(f) = -2*f. Determine r(i(z)).\nAnswer: -44*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1707299\/140 - 12195. Put 1, -1\/4, 5, a, -1\/2 in descending order.\nAnswer: 5, 1, a, -1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77244.32448 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*i - 10768 = 337*i. What are the prime factors of i?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 - (49 + -19) - -64?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) 1\/5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8330360 to the nearest ten thousand.\nAnswer: -8330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**3 - 6. Let r(p) = 5*p**3 + p**2 + p + 6. Let h(u) = 4*b(u) + 5*r(u). Let n be 1 + (3 - 3 - 1)*-7. Suppose -n*o = -22 + 54. What is h(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(11) + sqrt(77)\/(sqrt(7)*-3 + sqrt(7))) + (sqrt(539) + -2 - (sqrt(77) - -2*sqrt(77))\/sqrt(7)))*-6 + 2)*1)**2.\nAnswer: -336*sqrt(11) + 1780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.7 - -5.3. Let n = -7.05 + v. Let i = n + -0.05. Which is the biggest value? (a) -4\/5 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 22. What are the prime factors of q(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -53. Let y(b) = b**2 - b. Let u(s) = -3*s**2 - 5*s. Let n(t) = o*y(t) + u(t). Let c(m) = -2*m - 172 + 172. Give n(c(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2386 = j + 4*j + v, 955 = -2*j - v. Is 31 a factor of (j + 0)*(-7 - (-140)\/21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1604360 (base 9) to base 10\nAnswer: 888948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-74 + (-14025)\/(-225))\/(6\/9*4)\nAnswer: -35\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -23349064.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 19)*(-16*v - 3*v**3 + 16*v).\nAnswer: -42*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -234*t + 6. Let w be i(0). Let n(q) be the first derivative of 0*q - w + 19\/4*q**4 + 0*q**2 - 8*q**3. Find the third derivative of n(k) wrt k.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 9*w = 96. Let v be -5*w\/(-4) + 24\/6. Solve v + 1 = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 6. Suppose -3*t + 2*t - 3 = 0. Calculate a(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 227*t - 224*t. Which is the second smallest value? (a) t (b) -4.05 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.297 * -0.03\nAnswer: -0.09891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 762189 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -1547?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2738 and -67\/76.\nAnswer: 104044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 642399743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 726236*a**2 - 207328*a - 48.\nAnswer: 4*(7*a - 2)*(25937*a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1)*j*j*j**(2\/15)*j)\/(j\/(j\/j**(2\/3)))**(2\/45)*((j*(j*(j*j\/j**(-3)*j*j)\/j)\/j*j)\/(j**0\/j*j))**(2\/55) assuming j is positive.\nAnswer: j**(5041\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -668*b - 808. What is the lowest common multiple of 66 and q(-2)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -0.7974.\nAnswer: 3.2026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**4\/12 + p**2. Let q(l) = -2*l. Suppose 12 = m + m. Give m*v(a) + 5*q(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 541*p**2 + 48)*(2 - 3*p - 2)*(-3 - 1 + 21).\nAnswer: -27591*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.04, 2, -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -24*w + 14. Let u(t) = -17*t + 10. Let x(a) = -5*n(a) + 7*u(a). Suppose -2*j + 6 = -0*j. Let i(b) = -j + 3 + 3*b**2. Give x(i(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 436*k - 24. Let s(b) = -87*b + 5. Let l(m) = -3*o(m) - 14*s(m). Let c be l(-1). Suppose -28*n = -30*n + c. Does 26 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.9394 or -5558?\nAnswer: -5558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 42 = 5*z + 23*v + 46, 5*v = -z - 7 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 2*m - 3. Suppose 5*n - l = 2, -4 = -3*n + 5*l - 16. Let z(f) = -6*f**3 + f**2 - f. Let v be z(n). Let w be (v\/8)\/(4\/(-16)). Determine a(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6343*m - 234689. Determine x(37).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 772, 3145, 7090, 12595, 19648, 28237, 38350?\nAnswer: 49975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 1. Let n(u) = -7*u - 2. Let f(w) = -w. Let g(y) = s*n(y) - 3*f(y). Let q(h) = -h. Calculate g(z) - 3*q(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -z - 4*x, -2*z + 3*x = -1. Suppose 12 = 2*r + z. Solve d - 2 = -2*b - 2*d, 0 = 5*b + 2*d - r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*g*l*t**3 - 17547*g*l + 7*g*t**3 + 6709*g*t + t**3 wrt l.\nAnswer: 5*g*t**3 - 17547*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/6)\/(((-640)\/(-60))\/(-16))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(24\/(-10))*(-36)\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 324055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 - -4 - (-14 + 9) - 29?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -8. What is the least common multiple of 8\/(-6)*-3 + -1 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136 or 1363\/10?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1587\/565 - 1\/113. Let s = r - 41\/20. Are 0 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*d = -0*d + 8285 - 7920 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 5976.7?\nAnswer: -597.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.001 and -89.16.\nAnswer: -89.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 20*h + 62. Let f be d(16). Let q be (f\/3)\/((-1)\/45). Is 4 a factor of (-189)\/(-17) - (1 + q\/(-34))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123067.8 rounded to the nearest 1000?\nAnswer: 1123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -170, -163?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29 and 14707.\nAnswer: 426503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1146 <= -2\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 26*m + 34*m)*(-1 - 2 + 2*m + 5).\nAnswer: 120*m**2 + 120*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3799 and 2622751?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g = 32*g - 526. Let y = -33 + g. List the prime factors of y.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a tonne in kilograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19 from 91645.\nAnswer: 91664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -78 times -3.2155\nAnswer: 250.809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 189117*h**5 + 3*h**2 + 8614*h - 18 wrt h.\nAnswer: 11347020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 18891?\nAnswer: 151128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o - 18 - 56 = 40. What is the closest to -0.143 in 4, -4\/5, o?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2. Let a(h) = -36*h + 154*h + 24*h + 61*h. Is a(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -578, -580, -582?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8. Solve -d*g - 2 = -0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q = 2*q + 390. Let h be (-4 - -2)*-2 - -1. Suppose 2*x + 5*z = 6, 2*x - h*x - 4*z + 9 = 0. Solve -x*i - 2*i = q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31070 + -43660. What is n rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uguu when four letters picked without replacement from uuguuuuguunnu?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 2. Let d be r(0). Let z(t) be the second derivative of 0 - 4\/3*t**d - 1\/18*t**4 + t + 4\/9*t**3. Find l such that z(l) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 803.938 rounded to the nearest ten?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -31 + (-814)\/(-22) + -4. Let a = 0 - 0.2. Put -3, q, -26, a in decreasing order.\nAnswer: q, a, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-752913)\/119)\/(-111))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 307*w**2 + 312*w**2 + 30*w + 27*w.\nAnswer: 5*w**2 + 57*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23407 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184384, -368805, -553226, -737647, -922068, -1106489?\nAnswer: -1290910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.763363km to micrometers.\nAnswer: 9763363000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*d**2*k**2*z**2 + 5*d**2*k*z**2 + 20*d*k**2*z**2 + 21*d*k**2 - d*k*z + k*z**2 wrt d?\nAnswer: -28*k**2*z**2 + 10*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 3192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.270157 + -0.27. What is t rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 6*k**2 - 11*k - 20. Let w be r(-5). Let t(s) = -8*s + 9. Let x(n) = 7*n - 9. Let u(f) = 6*t(f) + 7*x(f). Calculate u(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96666 divided by -134\nAnswer: 48333\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 3*m - 4*m)*(-2*m - m + 2*m) + 3*m**2 + 4*m**2 - 5*m**2 + 3*m**2 + 4*m**2 - 6*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 364695 to the power of 1\/2, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.2 (b) -1\/9 (c) -1.938 (d) 2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y + 9. Let m = -268 - -268. Solve m = 2*w - 3*i, y*i = 4*w + 3 + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/12 + -1\/12. Let p be (4\/(-42))\/(-1*(-11)\/(-77)). Which is the closest to u? (a) 8 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3*d = 1, -w - 5*d = -d - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4297347566 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -0*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 243357\/326 or 747?\nAnswer: 243357\/326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5123625109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2 + 2)*(-h - 1 + 1 + (0 - 2 + 1)*(2*h - 3*h + 2*h) + 6*h - 26 + 26)*(-4*h + 5*h + 0*h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62625 + 140?\nAnswer: -62465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 3*l**2 - 435 + l - 859.\nAnswer: 3*l**2 + l - 1337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 10*b + 8 = 3*j, 20 = 5*b - 4*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8 = -3*p, 15 = 4*p - 3*j - 4. Let m(w) = -3*w - 3. Let b(r) = 4*r + 4. Let x(k) = -2*b(k) - 3*m(k). Give x(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 27*c - 775. What is j(28)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18459116789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-8)*8\/(-6). Suppose k = -4*p + 44, -4*p + 22 = h*k - 26. What is the remainder when 69 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + x**2)*(-5*x + 2*x + x)*(-1 - 5 + 3)*(-27 + 12 - 21) in the form m*x**2 + t*x + o + g*x**3 and give g.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 654137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 85*y + 70. Let q(d) = -42*d - 35. Let m(j) = -9*q(j) - 4*t(j). What are the prime factors of m(8)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.4 + 0.6. Let b be 224\/40 - (-4)\/10. What is the nearest to b in -2, -1\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28069578.\nAnswer: 2, 3, 163, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*m**2 - 32*m**2 - 41*m - 3*m**2 + 2*m**3 wrt m.\nAnswer: 12*m - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -44*c + 18. Let u(b) = 45*b - 18. Let y(p) = -3*u(p) - 4*v(p). Is y(2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x - 2*x + 3167 + 1683 = 0. What is the remainder when 955 is divided by x?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -235 - -281. Calculate the remainder when 136 is divided by n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 1:46 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 2*l - 5*l**3 - 5 + 4*l**3 - 2*l**3. Let u(s) = -5*s**3 + 5*s - 14. What is 8*t(y) - 3*u(y)?\nAnswer: -y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001476848 rounded to 6 decimal places?\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + 1 + 4 - (2 + sqrt(847)*2) - (2*sqrt(847) - sqrt(847))*-1*-1.\nAnswer: -22*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-1*-3 + -2*(sqrt(19) + sqrt(76)\/(sqrt(4)*-1)))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13966932 and 3192?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -9*y**5\/10 - y**4\/3 - 102*y**2 + 26*y + 4. Differentiate f(l) wrt l.\nAnswer: -54*l**2 - 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 44*k - 543. Determine g(14).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6251 + 6217.99. What is d rounded to zero dps?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 188903 = -w, -5*d - 6*w = -w - 314865. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 44*y - 2. Let g be f(1). Suppose -49*z = -g*z - 1442. Is 34 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212001122 (base 3) to base 8\nAnswer: -40653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-1\/3)*k)\/k)\/k)**(-1\/24))**(-48)*k**(1\/3)*k\/(k**(-6)*k)*k*(k**1)**(-5) assuming k is positive.\nAnswer: k**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 263, 517, 769, 1019?\n\"Answer: -c**2 + 257*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15200386 - -5?\nAnswer: -15200381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2459367921 + -2459367988.00000402. Let i = n + 67. Round i to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*g - 5*g + 21*m - 17*m - 8 = 0, -g + 6*m = 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -33*o**3\/5 + 179063*o**2\/5 + 173797*o - 27155 = 0.\nAnswer: -5, 5\/33, 5431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7546 = -287*i + 276*i. What is the greatest common factor of i and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4455379 - 4455379 - 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1195 divide 31954198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -50.5?\nAnswer: 51.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5466.6 or 0.33?\nAnswer: -5466.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-90)*5*(18\/2)\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 207.89 and 5?\nAnswer: 1039.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16845 times 0.35?\nAnswer: 5895.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/60258276 and -1\/243.\nAnswer: 542324484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 122094.3ml?\nAnswer: 122.0943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.90085232 rounded to 1 dp?\nAnswer: 24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -77930.74.\nAnswer: 23379.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -429638.\nAnswer: -1718552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/36)\/(57\/84))\/(49\/(-14))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -635, -2815, -6537, -11801, -18607?\n\"Answer: -771*g**2 + 133*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 20\/9 (c) -12 (d) -0.2 (e) 1 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(156) - -1*sqrt(156)) + sqrt(156))\/(sqrt(3) - (sqrt(3) - (sqrt(3) + sqrt(300) + -4*sqrt(300) - sqrt(3))))*4.\nAnswer: -52*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*b - 21*b - 104 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 612 and 3.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -9 - 1 - 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -777067 + 407959847\/525. Let m = 4\/75 + s. Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 5*m - 19. Is z(7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1685, 1661, 1591, 1451, 1217?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*m + 3*j, 3*m - 31*j + 26*j = 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyt when three letters picked without replacement from {t: 1, p: 1, s: 1, h: 1, y: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a milligram in micrograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*z + 760*z + 50*z - 19890 = 0 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5099.077 litres in millilitres?\nAnswer: 5099077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.7 - 11.7. Put b, 2\/5, 6, 0.2 in increasing order.\nAnswer: b, 0.2, 2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from cvcphvbh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/(r**6*r*r))\/((r**0\/r)\/r*r)**(-12))**(-32) assuming r is positive.\nAnswer: r**640","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)*a)\/a*a**(-12)*a**(-3\/8)*a\/((a\/a**10)\/a) assuming a is positive.\nAnswer: a**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + -14.06. Let z = g - -17. What is the third biggest value in 1\/2, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 60, 65, 70, 75?\n\"Answer: 5*d + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 smaller than 33676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006519419 to 7 dps.\nAnswer: 0.0000652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9061 + 0.0939. Which is the second biggest value? (a) -1\/3 (b) -11 (c) -0.5 (d) n (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19083.965 - 2.1\nAnswer: -19086.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2613315 + 2*n**3 - 4*n - 2613315.\nAnswer: 2*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2745101 is divided by 1007?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -89 - 3*g**2 + 29 + 60. Let j(r) = 738*r. Give z(j(f)).\nAnswer: -1633932*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 + 5*l**2. Suppose -5*i = -11 + 46. Let p(u) = 4*u**3 + 7*u**2. Let c be (88 - 4)\/21 + 1. Give c*p(j) + i*v(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -101011011001?\nAnswer: 101011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 606968755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 19*d + 6. Let h be 4*(-9 - 1 - (-10 - -7)). Let b be h\/35*25\/1. What are the prime factors of s(b)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -220 - -220 - (42 + -93)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 13. Let b(w) = -2*w + 14. Determine 3*a(u) - 4*b(u).\nAnswer: 5*u - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 24. Give x(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 4*h**2 - h + 4. Calculate j(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 7) to base 6\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from {x: 3, w: 1, m: 1, n: 1, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.712 - -0.288. Which is the nearest to 0? (a) -0.4 (b) p (c) -2\/11 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*d + 5*w, 3*w = -82*d + 81*d - 22. Let y(m) be the third derivative of 7\/24*m**4 + 0 - 36*m**d - 2\/3*m**3 + 0*m. Differentiate y(a) wrt a.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91552111 plus -7?\nAnswer: 91552104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 6*a**2 + a - 8. Let w be b(6). Let j be (5 + (-18)\/4)\/(1\/18). What are the prime factors of w\/(-3) - (-345)\/j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 5. Suppose -8 = 2*h + 14. Let j be b(h). Is 6 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 - 1.7. Let p = 1 + x. Sort 0.1, 5, p in ascending order.\nAnswer: 0.1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4633400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2 - 868*i - 1744 = 0.\nAnswer: -2, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 - 8010*u + 62836488\/5.\nAnswer: 2*(u - 18309)*(u - 1716)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - i - 1. Is h(-6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*a = -106*a + 135. Let h be (-9)\/(a\/(-190)) - (-1 + 2). Which is greater: -2\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/2 + 9447*k**2\/2 + 342151*k.\nAnswer: k*(k + 73)*(k + 9374)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*4\/42*119865\/1310?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4*y - 16, -3*t - 2*y - 16 = 2*y. Suppose -2*b + 15 = 3*b, t = -v + b + 5. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.144.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*c - 13*c + 5*c)*(-4*c + 0*c + c) - 10*c**2 - 9*c**2 - 8*c**2 + (-3*c**2 + 6*c**2 - 2*c**2)*(-2 - 2 + 2).\nAnswer: -56*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/((-1)\/16). Let y = l - -5. Let g be (y - -1) + 2 + 0. Is g less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**20\/(((((w*w**6\/w)\/w)\/w)\/w*w)\/w))**10 assuming w is positive.\nAnswer: w**170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163 + -159. What is the third smallest value in -6, -1\/5, p, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1 (b) -23 (c) 596 (d) -5\/2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 18 + 2*n + 8*n**2 - 10*n**2. Let z be u(0). What is the smallest common multiple of (-12)\/z*1*-21 and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(1008) + -4 - 1*(-1 + sqrt(1008)))*4 + 0.\nAnswer: -288*sqrt(7) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 15 = 3*k, -5*k = -3*o + 2 + 3. What is the lowest common multiple of 7 and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -210, -0.2, -79, -514?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 766*t - 3720 - 767*t + 1862 + 1858.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/5 + 1291*u**2\/5 - 776*u + 2588\/5 = 0 for u.\nAnswer: -1294, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-2\/13)\/s)*s*s**8*s)\/(s**(-1\/3)\/s**(-2\/13)))\/((s**2*s*s**(-4\/9))\/(s**(-6)*s\/(s*s**0)*s*s)) assuming s is positive.\nAnswer: s**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*z + 200 = -24*z + 10*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -1.3, -73, 4, 153\/2 in decreasing order.\nAnswer: 153\/2, 4, -3\/8, -1.3, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 7:14 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + r + 2. Let h be t(-2). Let z = h + -6. Is z\/6*(-12 + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 16*q**2 - 2*q**2.\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 413190381 a multiple of 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240402 = -172*x - 1431*x + 115368 for x.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155)\/(-35) - (-4)\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -1\/6*x**3 + 13\/2*x**2 + 0 + 14*x. Give m(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*j - 4*j + 28 = 0, s = 2*j. Let y be (10\/2)\/(2\/2). Solve y*r + 26 = -3*l, s*r = -8 - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 45 + 82 - 63 - f.\nAnswer: -f + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/27 + 133\/9. Let q = x + -12. Solve -q*v - 5 = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 + x + 0 - 1 + 3*x**2 - 6*x**2. What are the prime factors of z(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3. Let h = 3.8304 + -3.7304. Put l, -1\/3, h in descending order.\nAnswer: h, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68.9 + -73.9. What is the nearest to -4 in -1\/2, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -10527\/20 + 2632\/5. Let j(x) be the first derivative of 0*x + 1\/10*x**2 - 14 + r*x**4 + 2\/15*x**3. What is a in j(a) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102000102 (base 3) in base 7?\nAnswer: 32261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/150 and (-211)\/12 + 3\/(-12).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**5\/20 - y**3\/6 + y**2 + 6*y. Calculate s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q. Let o be 3 - (-65 + 12\/3). Let x = -21 + o. Let a(t) = x*t - 25*t - 21*t. What is l(a(v))?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5 - 1 + 5*h - 3 - 1. Suppose 0 = 4*c - 5*u + 9, -4*u + 18 + 14 = 3*c. What is the remainder when s(5) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d = 4535. Let z = d + 1590. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66242*j = -66289*j + 47 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110120040220 - 4?\nAnswer: 110120040211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 314067 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-28) + (-18052)\/(-28) + -3 + 0 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m - 49*m = -28535742. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(((-3)\/38)\/(-3)). Let k be 8*5\/((-80)\/12). Is (-9)\/k*o\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = 13 + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 242*q**2 - 480*q**2 + 235*q**2 as c*q + u + l*q**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/43965 and -76\/8649.\nAnswer: 42250365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 607963321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + ((sqrt(2057) - (sqrt(2057) + 0)) + 5 + sqrt(2057) + sqrt(2057))**2 + -5 + (sqrt(2057) + 0)**2 + sqrt(2057) + sqrt(2057).\nAnswer: 242*sqrt(17) + 10304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 84 = 17*f. Suppose f*h - 24 = 3*s - 0*s, h + 2*s = -5. Let z(w) be the second derivative of w**4\/6 - w**3\/3 - 3*w**2\/2 + 11*w. Calculate z(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 - -97. Let i be 2 - (0 - 22\/(-8)). Which is the third smallest value? (a) f (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 3*f**2 - 28*f + 5*f**2 - 9*f**2.\nAnswer: -4*f*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 11*x + 45. Calculate d(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1*((1 + 1*sqrt(180) + sqrt(180) + sqrt(180) - (sqrt(180) + 2 + 3 - sqrt(180))) + -3))*4)**2.\nAnswer: -5184*sqrt(5) + 27216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868062613?\nAnswer: 11, 8501, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.965 + 5.92. Let a = -0.155 + b. Round a to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.29 - -38. Let a = d + 0.2953. What is a rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 52 = 4*m. Let f = -12 - m. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739038 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r + 2 - 5*r + 2*r. Suppose 7 + 13 = -4*q. Is l(q) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 12 = -4*v. Calculate the remainder when 11\/v*((-2 - -7) + -25) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8*h - 8 = 0. Is (-32 - h)*(-3 + (-325)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119036358.\nAnswer: 2, 3, 7, 29, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/(2\/(-20)). Let m = j - 2. Let y be (-72)\/(-14)*(-1197)\/(-513). Solve 20 = 2*q + 5*t - 10*t, m*t = -4*q - y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/2 - 3898422*k**4 + 46781091*k**3\/2 - 35085825*k**2 = 0. Calculate k.\nAnswer: -7796850, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4312127 and 917?\nAnswer: 30184889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 7:49 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(1 - 4 - -1). Let u(s) = s**2 - 5*s + 9. List the prime factors of u(p).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -27*f**2 - 36*f - 31. What is the remainder when 210 is divided by n(-2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(8)\/sqrt(4) + (sqrt(350)\/sqrt(7))**2 - (sqrt(6)\/(2*sqrt(3) + sqrt(3)) + ((sqrt(2) - sqrt(18)) + -5)**2)).\nAnswer: -58*sqrt(2)\/3 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1591 (base 10) to base 8.\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 0.21, 0.4, 13.2?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 8727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 25674263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1307 by 2.\nAnswer: 1307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/3 - 48*q**3 - 2288*q**2\/3 + 3648*q - 11552\/3.\nAnswer: -2*(q - 2)**2*(q + 38)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**3 + 8*t - 11*t + 316 - 316 + 5*t - 11*t**2 to f*t**3 + u*t + i*t**2 + p and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -331, -233, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.19 - -249.19. Let x = g + -246.0000238. Round x to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b78a54 + -6?\nAnswer: -b78a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7597 and 2033.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35730\/634933 + -16\/289. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(2*o + 0*o + 0*o) + (-3 - 6 + 12)*(8*o - 2*o - 2*o).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 less than 669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y*(y*(y**12\/y)\/y)\/y))\/y)\/y*y)\/y**(-5)*y**(-11)*y**(-20) assuming y is positive.\nAnswer: y**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 5729025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7295 is divided by 36.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5) - 7940\/(-100). Let k be (6\/8)\/(30\/t). List the prime factors of (1\/(-4))\/(k\/(-232)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1 + 1 - 4*d**2 + 0. Let p(u) = -2*u + 5*u - u + 0*u. Give p(z(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 39 = -11*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n\/n**0)*(n\/(n*n**(9\/4)))\/n assuming n is positive.\nAnswer: n**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1 (b) 2\/7 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 53, 96, 139, 182?\n\"Answer: 43*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.012053 and 37?\nAnswer: 0.445961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6406877340 to the nearest 1000000.\nAnswer: -6407000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = 7*x - 182. Suppose 2*y = 7*y - 15. What is the greatest common divisor of y and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 78*h + 547. Give n(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 42. Let p = -1 + 2. Suppose -d*f + 7 = p. Solve -4 = 4*h + i - 0, 2*h - f*i - 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 46. Let p(s) = -2*s**3 - 4*s**2 - 2*s + 3. Let g be p(-3). Solve 2*n - 4*n - 3 = 3*j, -g = -4*n + r*j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 4*s - 94 = -13*x, 0 = x - 3*s - 33. Factor -45*i + 87*i**2 - 163*i**2 + 40*i**3 + 5*i**5 + 106*i**2 - x*i**4.\nAnswer: 5*i*(i - 3)**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 744*t. Let l(u) = -2355*u - 5. Determine g(l(j)).\nAnswer: -1752120*j - 3720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9241 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2962?\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1502601*m - 24041622. Determine r(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1476692350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 - 4*m**2 + 4*m**2 - 5*m**2 + 2*m**3 + 5*m**2 + (-2*m**2 + 2*m**2 + 4*m**2)*(-2*m + 2 - 2) + 3*m**3 - m**3 - 4*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**3 + 5*u. Let g(c) = 2*c**3 + 3*c. Let v = -92 + 89. Give v*s(m) + 5*g(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-17 - 0) + 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -743186.9.\nAnswer: -74318.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -23 - 46) + 3 + 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at least as big as 92\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 9*a**2 + 13*a + 11. What is d(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 3. Suppose 3*q = 5*q. Give d(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 361 - 358. Suppose -t = -3, 4*i + 5*t = r*t + 26. Calculate the remainder when 12 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5*r - 25 = 0, -25 = 5*y + 30*r - 35*r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 0 + 6 + 1. What are the prime factors of p\/(0 + 2\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 54*g - 53*g - 5 = 0, -4*a - 4 = -4*g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.028, 0, -0.1, 1 in descending order.\nAnswer: 1, 0, -0.028, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/7)\/((-665)\/266)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.015 times -3.2?\nAnswer: -3.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5629 - 0.4371. What is the nearest to -20 in i, 4.8, -1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29464, -29658, -29916, -30238, -30624?\nAnswer: -31074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(2 + 0) - 0. Let x(i) = -1 + 0 + 7 - i. Let v be x(h). Is -4 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30311 (base 4) to base 6\nAnswer: -3445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009114 to 6 decimal places.\nAnswer: 0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 19 - 40 + 5*f - f**2 + 17 + 2*f**2. Let o be b(3). What is the derivative of 12*j**3 + 21 + 9 - o wrt j?\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/((-3)\/20))\/((-29)\/29))\/((-2)\/6).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 6*r**3 + 20*r**4 - 3825*r + 3823*r + 3 - 3*r**4 to f*r + q*r**4 + h*r**2 + j*r**3 + a and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/16 + (-198)\/48 + 7. What is the second derivative of 5*i**4 - 20*i**3 - b*i + 24*i**3 + 2*i**4 wrt i?\nAnswer: 84*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + -47. Let f = -2 + 1.97. Let d = 0.02 + f. Which is the third biggest value? (a) d (b) 3\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 666 divide 197136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 49*x**5 - 287651*x**4\/3 + 139512470*x**3\/3 + 1184405356*x**2\/3 - 283841304*x = 0. Calculate x.\nAnswer: -9, 0, 2\/3, 6878\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35465.96l to millilitres.\nAnswer: 35465960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (25\/200)\/((-3)\/(-4))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 + 6*k**2 + 10*k + 1. Let c(r) = -3*r**3 - 12*r**2 - 19*r - 1. Let x(u) = -3*c(u) - 5*g(u). Let w be x(7). Put w, -5, -3 in decreasing order.\nAnswer: w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 660 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 4*p + 40 = 0. Suppose 76 = d + p. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**5\/8 + 36459*f**4\/4 - 11301729*f**3\/8 - 5687325*f**2\/4 = 0. Calculate f.\nAnswer: -1, 0, 157, 24150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*l + 19 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*h - 0*h. Let p = h + -10. Suppose -5*z + p = -6. Which is the closest to z? (a) 5 (b) -0.2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3162 is divided by 63?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 424027680 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from mmmaaamammmam.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 170 and 23?\nAnswer: 3910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23831285, 47662558, 71493831?\n\"Answer: 23831273*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwwswfwwwwswoawwww. Give prob of sequence aos.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*b + 23 - 23)*(-1 + 19 - 155) + (-4 + 2 + 1)*(2*b - b - 3*b) + 3 - 3 - b in the form o + h*b and give h.\nAnswer: -4657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.8 + -5.864. Let a = s + -5.936. Is a at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 685046, 685052, 685056, 685058?\n\"Answer: -i**2 + 9*i + 685038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -17*1\/(-2)*-2. Let h = p - -12. What are the prime factors of (h - 1)*2\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2603*o + 11519. Determine r(-4).\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j**2 + 3 + 5*j + 18*j**2 - 2 + 1.\nAnswer: 46*j**2 + 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 12:51 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohxbbdbodxhlxd. What is prob of picking 1 b and 2 h?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 9. Suppose -j*f - 32 = -3*c + 3, 5*f + 5 = -4*c. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**4*p + 22*f**4 - 5*f**3*p + 4*f**2 + f - 36*p wrt f?\nAnswer: -24*f*p + 528*f - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 364826 and -3456.54.\nAnswer: 361369.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 17679 = -172071. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18118, 72357, 162756, 289315, 452034, 650913, 885952?\nAnswer: 1157151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**2 - 32*n**2 + 3*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, j: 2, a: 12}. Give prob of sequence ajpp.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*p = -0 - 2, -4*d = -4*p - 20. Suppose -d*z + 30 = 3*z. What is the units digit of 12\/8*16\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 15*x - 54. Let l be u(-8). Factor 4*c**3 - 34 - 136*c**l - 6 + 132*c + 1 + 39.\nAnswer: 4*c*(c - 33)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-5)\/225 - (-160)\/(-360). Factor -2\/15*k**2 - h - 8\/15*k.\nAnswer: -2*(k + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1771664 and 0.5.\nAnswer: 1771664.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - (-5 - (-66)\/6). Suppose -2063 = -5*n + 2*g, 5*n - 2*n - k*g - 1245 = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -c - 4*c. Let w be 2 - (2 - 1 - 3). Solve 2*f + 2 - 3 = -3*x, c*x = w*f - 35 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*(-88)\/(-66)*(-27)\/3*3\/(-12)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71515706 by -35757853.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3130010*b**3 + 561270*b**3 - 116989*b**3.\nAnswer: -2685729*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c**3 - 17. Let o(x) = -2*x**3 + 6. Let r(f) = -7*f**3 - 63*f**2 - 6. Let k be r(-9). Give k*b(l) - 17*o(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3171 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -312a2 - 13?\nAnswer: -31305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c = 16*c - 9, 4*c = 3*t + 6. Sort -2, t, 1, -1 in increasing order.\nAnswer: t, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3689 - 14155. Let t = -6837 - h. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -1, -89, 3, -84, 1, -5 in ascending order.\nAnswer: -89, -84, -5, -1, 1, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75*a*v**2 + 292*a*v - 276*v**2 + 4*v + 22 wrt a.\nAnswer: -75*v**2 + 292*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7433549.2 to the nearest one thousand.\nAnswer: 7434000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15982 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -143, 3\/8, -1\/3 in descending order.\nAnswer: 3\/8, -1\/3, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x\/((x*x\/x**2)\/x))\/x)**(20\/11)\/(((x**(2\/7)*x)\/x)\/x)**(31\/2) assuming x is positive.\nAnswer: x**(2545\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 268 + -90. Let s = v - 178. Determine q so that -12*q**3 - 14*q**5 + q + 55\/2*q**4 + s - 5\/2*q**2 = 0.\nAnswer: -2\/7, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((241965\/1896)\/(-5)). Let x = y - -1\/849. Let b(t) = -t**3 - 12*t**2 - 20*t. Let w be b(-10). Is x at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2733*u**2 + 6 - 8 - 477*u**2 + 2 in the form l*u + n + c*u**2 and give c.\nAnswer: -3210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3436\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 19. Let p = -9 + 0. Calculate the remainder when 29 is divided by g(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y - 202. Let b be p(20). What is the tens digit of -6*b\/2 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13692 - 13569. What is the lowest common multiple of 451 and g?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-5) - (-3 + -2)\/25. Sort -25, k, -4 in descending order.\nAnswer: k, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 8. Let z(p) = -1. Let m(q) = 2*g(q) + 18*z(q). Let d(h) = -4*h - 3. Determine -3*d(f) + 5*m(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14281200 rounded to the nearest one hundred thousand?\nAnswer: -14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -32 + -30 + 30 + 13 + -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 11:24 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -50. Let k = 16 + -23. What is the remainder when o is divided by (-42)\/(-6)*(-10)\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = -c, 4*y - 3*y + 22 = c. Do 20 and c have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 25604402.4 milliseconds?\nAnswer: 0.29634725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 13*n - 1138. Let k(o) = -21*o**2. Determine g(k(s)).\nAnswer: 441*s**4 + 273*s**2 - 1138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.796 times 37848?\nAnswer: 67975.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 19 - (-4 - -13)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 5*v**2 + 7*v + 1. Calculate c(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1988\/(-5112)*15\/(-7) - 518\/636.\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3491*n - 3582*n = 455 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51709483 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/4 - 243*n**3\/4 + 61*n**2 = 0. Calculate n.\nAnswer: -244, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 10 = -10*u. Let q = 11 + u. Let c be -2*1 + 1 + 6. Solve c*j = -n - 29, -3 = -n + 4*j + q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47581828?\nAnswer: 2, 7, 491, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15369112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 332579266 a multiple of 3371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 57550 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**3 + 2*s**3 + 2*s**3 + (0*s - s**2 + 0*s)*(2*s + s - 2*s) + 4*s**3 - 4*s**3 - 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10401 + 11055 = 298*k for k.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 1:18 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/4)\/(56\/42)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 164138 + 30*j**2 - 164138 - 2*j to the form u*j + z + a*j**2 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111010101000111011100 - 10011?\nAnswer: 101111010101000111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 7*d + 2. Let r be q(-6). Let s = r + -3. Find the third derivative of -s*j**2 - 4*j**6 + 3*j**6 + 5*j**3 - 5*j**3 wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2 + 11*z + 51. Let n be w(-9). Let d = 400 - n. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 667105*z**2 + 0 + 2.\nAnswer: 667105*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47838819 or -47838817?\nAnswer: -47838819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 12. Suppose 3*d + 257 = -n, 2*d + 2*n = -0*n - 170. Let k = d + 89. Solve 3 = s + p, -k*s + s + h*p = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0)*(2*g + 0 + 0) - 6*g + 5*g + 2*g - 2*g + 0*g + 0*g + (-13*g + 6*g - 12*g)*(-2 + 0 + 1) to the form s*g + k and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.54 + 40.14. Let x = 3.4 + j. Let t = x - 41.9999954. What is t rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.02 (c) 4 (d) 36 (e) 16\/3 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*u - 15 = -5*a, 4*u + 3 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -2*t - 115. Let f be (t\/28)\/((-12)\/(-7)). Let w = f + 3\/16. Which is smaller: -0.1 or w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 6 - 10 + 4. Let x(l) = 13*l. What is x(k(g))?\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2395184238.\nAnswer: 2, 3, 149, 893059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 13*o + 5. Let r be b(13). Suppose -4*k - r = -13, 3*n = k + 1165. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*j + 571*j - 796*j.\nAnswer: 212*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26\/77? (a) 0 (b) -2\/5 (c) -35\/8 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-2775.\nAnswer: -13875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*-39*7\/(-4186)*1\/3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*((sqrt(4455) - (sqrt(4455) - -1*sqrt(4455))) + sqrt(4455)))\/(sqrt(50)\/(sqrt(40)\/sqrt(4)) + -1*sqrt(5)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-3 + (2 - -3 - 5))) + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/188376 and -73\/720?\nAnswer: 5651280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -318427 divided by -1\nAnswer: 318427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -65090 divided by 2\nAnswer: -32545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.6 - 4.599955. Round l to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 5:18 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + y**2 + 16*y + 21. Calculate a(-5).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o + 12. Suppose 3*v = -7*g + o*g - 7, -2*v - 10 = 0. What is the derivative of -2*y - g + 0 + 3*y wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-13)\/(-3) - 6\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 615\/14. Let j = v - -3\/7. Let u = -0.06 + 2.06. What is the second biggest value in u, j, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = 1391 - 1401. Let l(d) = -4*d**3 - 3*d**2 + 5*d - 1. Let i(q) = -q**3 - q**2 + q. Give m*l(s) - 5*i(s).\nAnswer: s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6273645 and 6094398?\nAnswer: 213303930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 19. What is a(23)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45107, -180428, -405963, -721712, -1127675, -1623852?\n\"Answer: -45107*r**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*g + 76*g = 163*g - 28. Solve -2 = 2*r - 2*v, 12 = -g*v - 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2396 - -2421. Solve -2*y - 21 = -x*i + 22*i, -4*y - 17 = -i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107822832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**3 - b + 9. Give o(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 15 = -0*i + 3*i, -4*p - 4 = 4*i. Let b be (9\/(-3) - 14) + p. Let s = 25 + b. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/12 + 1*3. Let y = -4 + q. List the prime factors of ((-3)\/y)\/(6\/100).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -28*v + 19*v. Calculate the least common multiple of v and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*b - 13766837 = 398*b - 38670029. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 2*v**2 + 2*v**2)*(v + 2*v**3 - v) - 2*v**5 + 3*v**5 + 0*v**5 + (4 - 3 - 3)*(-v**5 + 0*v**3 + 0*v**3).\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -3\/5 (b) 1\/7 (c) -1.07 (d) -3 (e) -2 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*w - 4*w + 1, 2*y - 3*w = -11. Calculate the common denominator of -43\/3 and y\/1 + 790\/(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.26 + 0.74. Which is greater: 29 or l?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121 + 1?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = -0, 0 = 4*t + 3*h - 6. What is the second derivative of 11*g + 6*g**3 + 6*g**3 - 2*g**t wrt g?\nAnswer: 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -22. Suppose -a - v = -4*g, -g + 5*g = -4*a + 16. Suppose y - 2*l - 5 = a, -5*y + 0*y + 1 = -2*l. Is y greater than or equal to -3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 58977?\nAnswer: -58977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3 - (-240)\/81). Let t = q - -1. Let v be (5 + 0 + -1)\/(8\/t). Solve 0*w + 4 = p + 3*w, -3*p + 4*w - v = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2281*d**6 + 6*d**2 + 567*d + 1 wrt d?\nAnswer: 273720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -52, -2 in decreasing order.\nAnswer: 2, -2, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1193, -3, 6, 9, 2 in ascending order.\nAnswer: -1193, -3, 2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 - 24*u**4 - 5 + 2*u + 5 + (3*u**3 - u**3 + 0*u**3)*(3*u + u - 3*u) - 16*u**4 - 3*u**4 - 32*u**4.\nAnswer: -73*u**4 + 2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 343296179*j**3 - 191156090*j**2 + j.\nAnswer: 2059777074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 363 + 843. Let r = k - 506. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-4 + sqrt(171) - sqrt(171))\/sqrt(9) + (sqrt(304) + -4 - sqrt(19)).\nAnswer: -sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 - o - 8. Is z(4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13333290 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -338*t**2 + 5*t + 4. Let m(c) = 508*c**2 - 8*c - 6. What is 5*m(j) + 8*y(j)?\nAnswer: -164*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {q: 2, y: 2, v: 1, l: 1, o: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -94*b - 15. Let p be z(0). Let g(v) = v**2 + 12*v - 72. Calculate g(p).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 6 - 8) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 49 - 63*r + 0*r**3 - 2*r**3 - 15*r**2 - 4*r**3.\nAnswer: -(r + 1)*(r + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2233 + 2354. Calculate the highest common factor of r and 9801.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/5 + 6902*x**4\/5 - 5392476*x**3\/5 - 990428456*x**2\/5 - 2900830768*x\/5 + 779328960 = 0. What is x?\nAnswer: -150, -4, 1, 1802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.79 and 4.68.\nAnswer: 27.0972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4)*12\/1. Let z be 3\/(-6) - (-33)\/b. Sort z, 2, -3 in increasing order.\nAnswer: -3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141306456 (base 7) to base 12.\nAnswer: -3111076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12947)\/14980 + (-6)\/(-8))\/((-208)\/40)\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*t - 14. Suppose -4*r + 4 = 3*l, t*l - 3*l - 5*r = -5. Suppose 4*u - 2*s - s = 7, l = u + s. Solve -u = c + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*w - 65648*m*w - m - 1113152*w with respect to m.\nAnswer: -2*m*w - 65648*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48.19 less than or equal to -9\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1515760 by 5.\nAnswer: -303152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 c when three letters picked without replacement from cbynydbr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4551*h + 4565*h - 168 = 0 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16860)\/(-80928)*(-56)\/10*1*-24?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, z: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + -41 + 11 + 31.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -516 in 0.3, -156, -0.3?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224182468.\nAnswer: 2, 17, 3296801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, a: 1, x: 3, b: 2, d: 4, j: 2}. Give prob of picking 1 d and 1 j.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(2\/7)*p**0*(p*p**(-4))**(-6) assuming p is positive.\nAnswer: p**(131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(153) + (sqrt(153) - -1*sqrt(153)) + sqrt(153)))\/(sqrt(72)\/sqrt(288)).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -137, -698, -2227, -5210, -10133?\n\"Answer: -81*u**3 + 2*u**2 - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j*j*j\/(j**(2\/19)\/j)*j*j)\/j))*j\/(j*j**(-9)*j))**(1\/23) assuming j is positive.\nAnswer: j**(245\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/17)*w**1*w)\/(w*w**(-2\/5)*w*w*w**(-5)))\/(w**(-3)*(w*(w*(w\/w**(-1\/4))\/w)\/w)\/w*(w*w**(2\/5))**(2\/5)) assuming w is positive.\nAnswer: w**(12703\/1700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 4.1. What is the nearest to -2\/5 in l, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + 1001110011100111?\nAnswer: 1001110011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-15)*20\/4. Let n(l) = -l**3 - 2*l**2 + 3*l - 2. Let r be n(-3). Let h = 0.1 + -0.1. Which is the second smallest value? (a) f (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -68616, -59182, -49746, -40308, -30868, -21426?\n\"Answer: m**2 + 9431*m - 78048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 7:19 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 2*i. Suppose -4*p + 112 = 4*p. Calculate the remainder when p is divided by j(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 44 = 43. Round l to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6852601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11254 = -4*x + 8*x + 2*i, 25 = 5*i. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/201 and 30\/59891?\nAnswer: 12038091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/(1\/69). Suppose -f + 0*f + 4*x = -i, -2*f - 5*x = -20. Suppose -17*t + 108 = -f*t. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1801 - -1378?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + 2 + 112\/20. Do 2 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013565732 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, s: 2, v: 3, r: 8}. Give prob of sequence vvr.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 11 = -20*g. Solve g = -3*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 7*c**2 - 18*c + 7. Let d be b(10). Let t = 231 - d. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 311.\nAnswer: -1866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 9*a**2 + 10*a + 7. Let v be t(8). Let k = v + -3. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126200 take away -41599?\nAnswer: -84601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*g + 2*o, 4*g - o + 2*o = 3. Let m = 119 - 95. Suppose -m + 10 = -2*t. What is the greatest common divisor of g and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*h**3 + 35*h**3 + 28*h**3 - 2*h**3 - 6*h**3 - 3*h**3 + (h - h**3 - h)*(4 - 5 - 2).\nAnswer: 42*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkzw when four letters picked without replacement from {z: 2, r: 1, k: 4, w: 6}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1286*t**3 + 1395*t - 1395*t + (-2 + 1 + 0)*(-2*t**3 - 2*t**2 + 2*t**2).\nAnswer: -1284*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40371926?\nAnswer: 2, 7, 43, 199, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 5\/1 + 2. Suppose -2*i = -r*i + 9, -3*i = -c + 3. Suppose -s + c = s. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 763 divide 92077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 1 + 104426354*u**2 + 5*u**4 - u**3 + u - 1 - 104426303*u**2 to d*u**4 + j*u**3 + i + x*u**2 + o*u and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1921.6987564 to two dps.\nAnswer: 1921.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3785 and 130.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*q + 223 = -411, -q + 477 = 3*o. Let h = o - 46. List the prime factors of 52\/39*h\/4.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/13)\/x*x*((x*x**(-23)*x*x)\/x)\/x*x**(3\/16)*x**(-9\/2) assuming x is positive.\nAnswer: x**(-5441\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, 5, 29, 73, 143?\n\"Answer: c**3 + c**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 c, and 1 k when four letters picked without replacement from {m: 2, c: 8, l: 1, k: 1, f: 3, d: 4}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 2 - 0) + -1. Find the second derivative of -y*o + o**4 - o**4 - 3*o + 3*o**4 wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + 13)*(-3)\/(-2). Suppose -9 = -4*r + d. Calculate the lowest common multiple of 1 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -3, -5, 0.0281, 0.3, 0 in decreasing order.\nAnswer: 4\/7, 0.3, 0.0281, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15311357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10010 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(68) + 5*(sqrt(68)*1 + sqrt(68)))\/sqrt(4).\nAnswer: 5 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*k + 2\/9*k**2 + 115200 = 0 for k.\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -24*r - 424. What is w(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1061\/371 + -144\/53. Let s = 0.008 + -1.008. What is the closest to s in -1\/5, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 4*r**2 + 3*r**2)*(-r + 6*r + 6*r) + (6*r - 2*r - 3*r)*(5*r**2 - 5*r**2 + 2*r**2) - 13 + 5*r**3 + 13 - r**3 + 0*r**3 + 0*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njnncjj. What is prob of sequence cnnj?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -609 - -608.6. Let l = 0 - -1. Let x = l + -1.3. Which is smaller: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3156, 6387, 9606, 12807, 15984, 19131?\n\"Answer: -k**3 + 3238*k - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -5. Let l = p + 3. Factor 94*z**2 - z - 90*z**2 + 6 + z**3 - l*z.\nAnswer: (z - 1)**2*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + (6*(-4 + sqrt(75)))**2 + 3 + sqrt(75) + 5 + (-2*(2 + -2*3*sqrt(75)))**2.\nAnswer: -1910*sqrt(3) + 14100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 40832?\nAnswer: 122496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = 5 - 22. Suppose -56 = 3*h + h. Is n bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1*(-6)\/4). Let r = 0.04 - -4.96. Which is the nearest to x? (a) r (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33553, 67105, 100655, 134203, 167749?\nAnswer: 201293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 43. Is 3\/12 - 334\/z a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001008744 to seven decimal places.\nAnswer: -0.0001009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i + 4*i + 50*i**2 - 3*i + 4*i. What is the units digit of z(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 t when three letters picked without replacement from {u: 1, r: 5, x: 1, t: 3, z: 3}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2301 (b) 2\/7 (c) 0.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 12*k**2 + 16. Let y be p(-12). Does 12 divide 60*(y\/(-5))\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -16) + (1 - (4 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 1120*q - 1125*q + 42 = 0, -2*q = -12*v + 7*v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -182940?\nAnswer: 1\/91470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34094 - 12273839\/360. Let t(h) be the third derivative of 0*h**4 - 11*h**2 + u*h**6 + 0 + 0*h + 0*h**3 - 1\/60*h**5. Determine d so that t(d) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-68)\/102*2\/(-20).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k**2 - 13. Let l(g) = -7*g**2 + 6. Let y(s) = 13*l(s) + 6*q(s). Let h = -1 + 1. Let b(p) = 5*p + 2*p + h*p. Give y(b(a)).\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(288) + 0 + -1 + -1*(sqrt(288) + sqrt(288) + sqrt(288) + 2 - sqrt(288)))*-1 + 4)**2.\nAnswer: 1536*sqrt(2) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-8 + 2 + 3 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 393905881 + -393905898.9999993. Let n = 17.61 + 0.39. Let j = n + y. Round j to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550368167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -64168 divided by -52?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 66*m**4 - 63*m**4 + 6*m + m**3 - 5*m to w*m**4 + i*m + f*m**2 + h + c*m**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 - 32341*n**2\/2 - 261565904*n - 2614042240.\nAnswer: -(n + 10)*(n + 32336)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4257 - -4413. Calculate the greatest common divisor of o and 884.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3)*5)\/(7\/21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1109, -2252, -3395?\nAnswer: -4538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-109)\/(-327))\/(3*3\/(-513)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**6\/6 - u**5\/2 - 5*u**4\/12 - 3*u - 12. Factor p(a).\nAnswer: -5*a**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/59, -689, 1\/8 in descending order.\nAnswer: 5, 1\/8, 4\/59, -689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, and 1 n when three letters picked without replacement from {r: 1, m: 7, k: 3, n: 3, g: 1, f: 2}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 373586.\nAnswer: 1\/186793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 11) + (42 - 33).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37400 and 8636?\nAnswer: 4749800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/2417, -2\/441 in descending order.\nAnswer: -2\/2417, -2\/441, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 1:09 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36\/119 + 104\/119. Let g = 2\/13 + -35\/143. What is the closest to -0.2 in -4, g, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -327 - 78.3?\nAnswer: -405.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(((-2 + sqrt(17))*4 - -3*sqrt(68)\/sqrt(4)) + 1 + -2 + sqrt(1088)) + 0)*-6)**2.\nAnswer: -155520*sqrt(17) + 2249856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (574 - 569) + (-6)\/4*2 - -80. Solve 3*s = 91 - d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1703*j**3*w**3 + 120*j**3*w**2 + 6997*j**2*w - j**2 - 6*j*w**3 + 308*w**3 wrt w?\nAnswer: 10218*j**3 - 36*j + 1848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 124*j - 7. Let k be y(1). What is the highest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 439.2 + -395. Round t to the nearest integer.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132960 and 83100?\nAnswer: 664800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 169*z**2 - 6532*z - 6040. Calculate c(108).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 28*n + 647. Determine g(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4028.\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, w: 4, t: 9}. Give prob of sequence tww.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 3*s + 6. Suppose -2*p - 4*j + 30 + 0 = 0, -4*p + 4*j = -60. Suppose -3*b + 0*b + p = 0. Give y(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17.574279s?\nAnswer: 0.29290465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 21*p**3 - p + 11. Let r(z) = -z**3. Let s(w) = d(w) + 2*r(w). Find the second derivative of s(g) wrt g.\nAnswer: 114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 1. Let c be d(-1). Let v be (-5)\/(-330)*(0 + c). Let g = v + -139\/462. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48091, -95897, -143703, -191509?\nAnswer: -239315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11.2? (a) -1\/6 (b) 5 (c) 4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.379 plus 9409258?\nAnswer: 9409258.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43249200 by 72082.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + (-11)\/2)*-1096 - -2. Let b = -550 + w. Solve -4*k = -5*i - 14, b*i + 4*i - k + 9 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + 5444333?\nAnswer: 5444426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511 times -0.007?\nAnswer: -17.577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-3)\/(18\/(-21)))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 648*c - 1288.\nAnswer: -2*(c - 322)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 6. Let m be n(-6). What is the second derivative of f + 3*f**3 - 2*f**3 + m*f - 3*f wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4083 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 12) in base 5?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-30)*1)\/(((-3192)\/144)\/(-133)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 27789588163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27366 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 46, 62, 78?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5121.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -6, -1\/5, 2.8, -115 in increasing order.\nAnswer: -115, -6, -1\/5, 0.05, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**4 - 4*y + 6. Let k(h) = h**4 - 1. Let c(p) = -2*p - 13. Let z be c(-6). Let g(m) = z*w(m) - 6*k(m). Find the second derivative of g(d) wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 13525?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168528?\nAnswer: 2, 3, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 4*p + 2. Let g be a(4). Let x = 4 - 0. Let w be -1*x\/12*-1. Which is bigger: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16462121 + -154?\nAnswer: 16461634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 4\/84*7. Suppose 5*u = 234 - 19. Let i = -643\/15 + u. Which is the smallest value? (a) j (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2 (b) -0.2 (c) 3\/7 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2. Let f(k) = 2*k - 12. Let o(t) = -f(t) - 6*u(t). Let b(c) = 1. Let d(m) = -13*m + 6. Let z(h) = 6*b(h) - d(h). Calculate o(z(p)).\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 13*g + 2. Let s = -10 - -23. Let f be r(s). Suppose 39 = h + 3*i, -f*i = -h + i + 9. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26335*r + 1 + 26510*r - 1.\nAnswer: 175*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157895 and 218307.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -116, 293, 1260, 2959, 5564, 9249, 14188?\nAnswer: 20555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1758748 = 26*a + 1757734 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine sixths of a day?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*c = 26, -4*o + 7 + 13 = -3*c. Let l be -6*o*(1 - 2)*1. Suppose 3*t - l = 3. Solve -15 = -3*b, 0*a - t*b + 5 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10486511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2840 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 19*t**2 + 43*t + 28. Let o be j(-21). Suppose -12*h + 11*h + 4 = 0. Solve o*m = h*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -435967 - -238953. Let p = -197014.081049 - r. Let t = p - -0.081. What is t rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2. Let n(w) = 4045*w. What is b(n(r))?\nAnswer: -49086075*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98 - 96. Which is greater: h or -41?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 200, -5, 1, 940 in decreasing order.\nAnswer: 940, 200, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 take away 596475068080?\nAnswer: -596475068041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1411437982 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 96 = -42 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**3\/3 + 1. Let a(z) = -z**2 + z. Let t(m) = 6*m**2 - 5*m. Let o(d) = -15*a(d) - 3*t(d). Give s(o(c)).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r, r + 4383 = 3*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, z: 6}. What is prob of sequence zz?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-21))\/(-1*(-1)\/(42\/(-6))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (19 + -5) - 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 5:08 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1024611.695522 - -1024610. Let v = -1.64352185 - h. Let k = 0.052 - v. What is k rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 1403 - 1186. Solve 2*b - 13 + 4 = -k, 5*k + 3*b - l = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.57 - -1.6. What is the nearest to p in 5, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/(-50) - 2\/10. Suppose f = -5*p + 49, -5*f - h - 4 = 0. Let u be -1 - p\/(-8) - 195\/(-52). Solve 0 = -u*v + 23 - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t - d - 7 = 0, 0 = -t - 2*d - 3. Let p = t - -18. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/3, 2.485, -1\/8, -38 in decreasing order.\nAnswer: 4, 2.485, 2\/3, -1\/8, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**4 - 1006*t**2 - 1580*t?\nAnswer: 12*t**2 - 2012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + -7.94. Which is the third biggest value? (a) y (b) -0.4 (c) 2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 1 - 1)*(-3 + j**2 + 3) - 727405*j**2 + 727405*j**2 - 2237*j**5 + (3 - 1 - 3)*(0*j**5 + 5*j**5 - 4*j**5) + 2*j**5 + 3*j**4 - 3*j**4.\nAnswer: -2237*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23345.42084 + 23346. Let p = z + -0.58. Round p to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 + 8*f + 11*f**3 - 2*f**2 - 10*f**3 as x + o*f + i*f**3 + n*f**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2625742.\nAnswer: 2, 7, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400, -800, -1200, -1600, -2000?\nAnswer: -2400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -211887\/16 - -13248. Find the common denominator of 17\/16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17174583 (base 9) in base 6?\nAnswer: 504323420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 330*u**2 - 4463*u + 12315. What is r(316)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3551 - 1169. Let o = 1955 - p. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + -2 + (-2)\/(-1). Suppose 12 = j*v - 8. Solve 1 = v*x + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816678 is divided by 2052.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 307706 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-612)\/34*2\/32)\/((-1)\/2)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/(2\/16*4). Let o = 63 + c. Let p = o - -7. Solve -4*s - 10 = -p*l, -30 = -0*l + l + 5*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226272 divided by -6?\nAnswer: -37712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 966 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801529 is divided by 347?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 166 - 10*x - 4*x**2 + 2\/3*x**3. Let c(i) = 0. What is i?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21084, 21174, 21332, 21558, 21852?\n\"Answer: 34*l**2 - 12*l + 21062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(-2*sqrt(12) + sqrt(3)))\/((sqrt(192) - (sqrt(192) + sqrt(192) + 3*sqrt(192)))*1).\nAnswer: sqrt(13)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*h**5 + 2*h**4 + 22*h**3 - 8*h**2 - 67 wrt h?\nAnswer: -480*h**2 + 48*h + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8810123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(-4*(sqrt(8) - sqrt(128))).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*g**2 + b*g + 3*b + g**2 - 33*g - 4494 wrt g?\nAnswer: -4*b*g + b + 2*g - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154079, -154057, -154015, -153947, -153847, -153709, -153527, -153295?\nAnswer: -153007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116367777 - 51578?\nAnswer: -51577.883632223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 12*r + 18. Calculate x(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -22*w + 13. Let s(o) = 11*o - 6. Let i(y) = -13*s(y) - 6*v(y). Let f(g) = 2*g. Give f(i(c)).\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 224 = -3*s. Differentiate 6*u + 17*u - 21*u + 2 - s*u**3 wrt u.\nAnswer: -96*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-25) - 2*21\/140.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.421 - 0.579. Let t = i - -6.45. Is t less than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -249 (b) 0.5 (c) -3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1008 divide 2379697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 9*m + 108 = 0. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48087906*v + 32548627 wrt v?\nAnswer: 48087906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 5 + 5*b**3 - b - b**2 - 1. Suppose -15 = -5*a - 3*c, -2*c = 2*a - 0 - 6. What is the units digit of l(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1374 - -1349 - (-1)\/(1\/12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*t**2 - 9*t**2 - 62*t**2 + 31*t**2.\nAnswer: -87*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*d - 26 - 28. Suppose 4*o = n + d, 6 = 4*o + n - 7. Factor 0*h + 8\/5*h**o + 0 - 4\/5*h**3.\nAnswer: -4*h**2*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 3*z + 27, -4*b + 12 = -8*b + 4*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 12:58 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1878 + 14175 - 38727*c + 38725*c to the form s + x*c and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26320869?\nAnswer: 3, 324949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let v(z) = -40*z**2 + 3*z - 6. Let p(j) = -1108*j**2 + 3 + 1147*j**2 - 2*j + 1. Let c(y) = 3*p(y) + 2*v(y). Calculate u(c(t)).\nAnswer: 37*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*g**2 - 129*g**2 - 61*g + 61*g - 14*g**2.\nAnswer: -535*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1532, -1566, -1610, -1670, -1752, -1862, -2006?\n\"Answer: -y**3 + y**2 - 30*y - 1502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23*184\/(-40733))\/((-4)\/(-7))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 18, -1234.\nAnswer: -1234, -2, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7.18. Let g = 0.08 - l. Which is the second biggest value? (a) 2 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -222*u**2 + 5*u + 51. Let w(i) = 333*i**2 - 7*i - 75. Let c(x) = 7*m(x) + 5*w(x). What is the derivative of c(k) wrt k?\nAnswer: 222*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.9 minus -0.0898374126?\nAnswer: -41.8101625874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 455121114*k**2 + 539174588 wrt k?\nAnswer: 910242228*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24.836 + -1.016. Let a = l - 23.820001171. What is a rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 17*b - 9. Let r(y) = -52*y + 24. Let c(a) = 3*r(a) + 8*s(a). Let j be 2*(-2)\/(-8)*2. Let t(v) = 1 - j - v**2. What is c(t(n))?\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 9) in base 12?\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 687 + 826. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 3:39 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/6 - 163*r**2\/2 + 4003*r\/3 + 1416.\nAnswer: (r - 472)*(r - 18)*(r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 2*x + 2. Let v be k(3). Suppose 0 = -2*c + 5*r + 2 + 6, -2*c = -2*r - 14. Let h = -23 - -23. Solve 4*o - c = -h*o - v*q, -3*o = -3*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1410 - -1974. Suppose s + 5*h - o = -49, 0 = 2*s - 3*h - 1095. What is the greatest common divisor of s and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98\/3 + 32. Is v at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - 5*k**2 + k + 7. Let w(v) = 2*v**3 + 2*v**2 + v - 2. Calculate -s(q) - 3*w(q).\nAnswer: -8*q**3 - q**2 - 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661851171.\nAnswer: 3, 73539019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 435, -54, -557, -1080, -1629, -2210, -2829?\nAnswer: -3492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (-1105)\/(-39))*(-42)\/(-49).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(17) + sqrt(17)*-1 + sqrt(17))*4 + -2 + (sqrt(1666) + sqrt(1666)*2)\/(sqrt(6)\/(2*sqrt(3))))**2.\nAnswer: -120*sqrt(17) + 15304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9006702 days to microseconds.\nAnswer: 77817905280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 76*s + 4. Determine i(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 0.1, -78, -48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*w + 286742 = -15*w - 257121. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + -217. Let v = t + 132.5. Let f = v + -26. Which is the biggest value? (a) -2\/29 (b) 3\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o + 10. Let n = 5 + o. Solve n*s = -6 - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*a - 2*m, 21 = 3*a - 0*m - 5*m. Let f be (9\/2)\/(1\/2). Suppose a*k + 28 = 4*d, -4*d = d + 4*k - f. What is the highest common divisor of d and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -5*z - 2*l, 0 = -4*z + 4*l + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*i + 33, -3*i + 15 - 2 = -p. Find the third derivative of 6*y**2 + 9*y**2 + 3*y**p - 8*y**3 - 8*y**2 wrt y.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 - 7 - 3*r**2 - 4*r**2 + 0 - 11*r. Suppose 38 = -4*g - 2*f, -2*g + 3*g = 5*f - 4. Calculate the remainder when 54 is divided by i(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 23. Suppose 0 = 2*k + 2*k - p. Suppose 0*h = 3*h - k*w - 30, -15 = -2*h + 3*w. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 2)*(-879 + 71*c**3 - 127*c**3 + 58*c**3) to l*c + g*c**3 + z + k*c**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436*p**3 + 1 - 1.\nAnswer: -436*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooodohodhoooooo. Give prob of sequence dodh.\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -7*q + 6457, -622 = -4*k - 3*q + 7981. What is the highest common divisor of k and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*w + 2115705 + 429471. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 272 + -228. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21499.9*-0.74.\nAnswer: 15909.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48445\/66 - 734. Let l(q) = -q**2 - 4*q + 139. Let h be l(-14). Are i and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v + 230. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*h - h + 1 = 0, f + 2*h + 6 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 7*j - 4*j)*(86 - 231 - 69)*((-1 - 4 + 4)*(-3 - 3 + 5) - 4 + 3 + 4).\nAnswer: -2568*j - 856","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + -22141552204?\nAnswer: -22141552223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33614641 (base 7) to base 9\nAnswer: -5453144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -453 or -463?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h - 708 = 49*h + 96*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 6. Let c = 12 - 12. Suppose 5*k + 6 = -4*b + 42, -5*b + 4*k + 4 = c. Suppose -q = 2*p - p, -b*p - 2*q + 10 = 0. Give i(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -268)\/(2\/6). Let j be (1*-2)\/((-3)\/d). Let g = -971\/2 + j. Find the common denominator of g and 61\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109272 is divided by 775?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n + 10. Let m be c(7). Let l be (-62)\/m + 3\/(-6). Suppose -5*o + 40 = l. Solve -2*p - 1 = o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 236670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*j + 1 + 11 = 0, 0 = -4*k + 5*j + 20. Let c = 106 + -532\/5. Let b = -9517 + 9517.07. What is the closest to b in c, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*z + 3*z**2 + 14*z)*(19 - 8 + 18).\nAnswer: 87*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1638 + -1188.7. Let z = y + -449.299997629. What is z rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 33*b - 26 in the form t*b + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(-4*t + 5*t - 4*t) + (0*t + 0*t - 2*t)*(8 - 8 - 11) - 2*t + 1 - 1 + 1 - 1 - t as h*t + u and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -33 + 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, i: 1, n: 4, r: 10, o: 4}. Give prob of picking 3 n and 1 r.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10\/(j\/((j**(1\/11)\/j)\/j)*j))\/(j**(-6)\/((j\/((((j\/(j\/j**(6\/17)))\/j*j)\/j)\/j))\/j)) assuming j is positive.\nAnswer: j**(2569\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfg when three letters picked without replacement from ggfuugfmg.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 3:15 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11449*t + 11429*t + 89 + 31 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439 + 622*z - 439 - 3*z**3 - 622*z.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**6\/120 + m**5\/20 - m**4\/24 - m**3\/6 - 4*m**2 - 23. Let i(h) be the second derivative of a(h). Give i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 15*m**3 + 10*m**2 + 93*m + 205. Calculate u(-2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 + -15435\/166. Let v = -63 - -62. Are x and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24432 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 5*l**2 + 12*l + 10. Let x be p(-5). Let f = 51 + x. Let t be f\/3 + ((-7)\/3 - -3). Is -0.8 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16014 + 8838. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30820589323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5887 (b) -0.02 (c) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47869*i - 47862*i + 5*f + 1 = 0, 2*f - 4 = -5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -44 = -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 137*m + 2663. Give t(-11).\nAnswer: 1156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396, -380, -364, -348, -332, -316?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50.1 - -50.4. What is the nearest to -2 in 2\/9, -0.044, w?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(1*sqrt(90)))**2 - (2 + sqrt(48))*-6.\nAnswer: 37\/3 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8*(6\/12 + 2 - 2). Let d(p) be the first derivative of -y*p + 2*p**2 + 1\/5*p**5 + p**3 - p**4 + 1. Factor d(r).\nAnswer: (r - 2)**2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 711.6714nm?\nAnswer: 0.0007116714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69584.31 hours in days?\nAnswer: 2899.34625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 55 = 4334. Calculate the remainder when k is divided by 1\/(-8) - 836\/(-32).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/27*24\/(-42)*7\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57716729 a multiple of 528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of (-1)\/((-22)\/132004) - 312\/1716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) -5 (c) 5 (d) -1706 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4*j*j)\/((j*j**5)\/j))**(2\/3)\/((j*j\/j**(-2\/9)*j**(4\/5)\/j)\/(j**(2\/3))**(1\/19)) assuming j is positive.\nAnswer: j**(-1129\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172839397?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcc when three letters picked without replacement from iggigcgcjccci?\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -26 and 6239452356.\nAnswer: 6239452330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*t = -30*t - 1260. Let j = -171 + t. Which is greater: j or 100\/11?\nAnswer: 100\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362316463?\nAnswer: 59, 6140957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 284261 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43420 is divided by 4014.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/(-7 + -15*(-2)\/6). List the prime factors of 7763\/13 - (-2)\/b.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/((-2)\/8). Let w = -21.87 - -21.97. What is the closest to -2 in w, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 - 12 - 43 - 7*j - 27*j with respect to j.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 461515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*n**2*r - 2*n**2*w - 27*n - 5*r*w wrt r?\nAnswer: 33*n**2 - 5*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a (base 11) to base 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3615 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 595 to the nearest 10.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v. Let p(i) = -6*i + 1. Determine 6*p(f) - 5*z(f).\nAnswer: -f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 6*u**2 - 4*u - 9. Let a(h) = -1886*h + 11312. Let o be a(6). What is i(o)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**3 + 18*j**2 - 19*j + 40. Let k(d) = -d**3 + 2*d**2 - 2*d. Give 9*k(q) - m(q).\nAnswer: -2*q**3 + q - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3882 - -3882. Is v > -379.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194672963 - 0.21.\nAnswer: 194672962.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 - 2*m**2 - 4. Let v be 8\/(-64) - (-34)\/16. Suppose 5*n = 2*x + 19, v*n + 0*n - 25 = -5*x. What are the prime factors of h(x)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -12*c + 0*c - c**3 - 1 - 8*c**2 - 23 + 0*c. Let j be n(-7). Suppose g = 2*t + 4, -21 + 1 = -3*t - 5*g. Solve 2*l + 5 - j = t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -9. Let y(o) be the first derivative of -66 - 1\/4*o**4 + o + 4\/3*o**3 - 3\/2*o**2. What is y(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**7\/21 - d**6\/15 + 7*d**5\/10 + 13*d**4\/6 + 2*d**3 + 12*d. Suppose v(h) = 0. Calculate h.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 16*s - 2230. Let z be l(56). Solve 5*n - 5 = -4*r, -4*n - 5*r - z = -23 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1568674 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416207260*o = 416207264*o - 44 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*p + 57. Solve 4*s = 4*f + 12, 5*s + 0*s - p = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1438310\nAnswer: 431493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, 203889, 0 in descending order.\nAnswer: 203889, 5, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93823588*d**3*k**2*r + 24*d**2*k + 72*d**2 - d*k**2*r + d*k**2 - 21*k**2*r - 1 wrt d?\nAnswer: -562941528*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 1 + 1)**2.\nAnswer: 36*sqrt(17) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 67502775?\nAnswer: -1\/13500555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.4, 2, -1\/8 in decreasing order.\nAnswer: 2, 0.5, 0.4, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2493129454?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*z = -0*a - 441, 678 = -3*a + z. Let q = -223 - a. Solve q*c - 7 = -1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/14 and -55\/3411823746.\nAnswer: 23882766222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)*m*(m\/(m\/(((m*m**(9\/5))\/m*m)\/m)))\/m assuming m is positive.\nAnswer: m**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*i + 158 = 0, -4*q + 67 = 4*i - 45. Suppose b + p - 67 = 3, 0 = 4*b + 2*p - 284. Let k be (-4)\/10 + b\/q. Solve k = 3*a - 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.88 + 0.12. Which is the biggest value? (a) j (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o. Suppose 0*u - 3*u - 4*v - 8 = o, -u + 4*v = -8. Suppose 4*r + 4*k = 4, 3*k - 2 = -u*r - 4*r. Is 1\/20 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 11. Suppose 3*r + 6 = -k, 2*k - 4 - 19 = r. Determine l(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161.77 - -0.23. Let p = -160 + f. Is -9 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 72, 109, 148, 189?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/7 - 3612589*t**2 - 159872303859843*t\/7 - 159872278571721\/7.\nAnswer: -(t + 1)*(t + 12644061)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*h = -45, 2*h - 6*h = -3*b + 32. Let y = -12 + 16. Suppose -b*a - 6 = 2, -2*f = -y*a - 58. What is the remainder when 98 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1981031 is divided by 3500.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-1)*j*j)**(4\/13))**(-2\/93) assuming j is positive.\nAnswer: j**(-40\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 4:47 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -17 + -18 + 3\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12477 - 1377*c**3 - 8963 + 19244 wrt c.\nAnswer: -4131*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -594216255*s + 132839580 wrt s.\nAnswer: -594216255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 10:53 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/125 - (-437)\/(-475). Let q(c) = c**2 - 4*c. Let x be q(2). Let w = 94 + -60. Put x, l, w, 3 in decreasing order.\nAnswer: w, 3, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 779?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkr when three letters picked without replacement from {r: 18, k: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 550839422 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/9 and -107\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59177?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**2 + 1790*g - 16039. Calculate w(9).\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*t**3 - 6515*t**2 - 141729*t + 9 wrt t.\nAnswer: 54*t - 13030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.72677 kilometers to meters.\nAnswer: 98726.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 30*v = 20*v + 44 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 19*x. Let t(d) be the first derivative of -39*d**2\/2 + 30. Let h(y) = 5*m(y) + 2*t(y). Let a(v) = v**2. What is h(a(r))?\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 36223, -3, 5 in ascending order.\nAnswer: -3, 0, 5, 36223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2472?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 188*b**2. Let a(n) = -6*n**2. What is a(g(w))?\nAnswer: -212064*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 8*u**2 + 0*u**3 + 0*u + 2 - 7\/24*u**4 - 1\/120*u**6 + 2\/15*u**5. Suppose n(j) = 0. Calculate j.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -n + 2, 0 = 2*b + b - 2*n - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 - ((-1 + -6 - -1) + -11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10368.8 + -10369. Let x = -0.4 - 2.6. What is the smallest value in d, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784 is divided by 98?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 53.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -37, -2, -571 in descending order.\nAnswer: 30, -2, -37, -571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/5 + ((-12)\/(-15))\/4. Suppose 0 = d*v - 2*y - 1045, 0 = 3*v - 5*y - 325 - 283. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4209126, -4209132, -4209136, -4209138, -4209138?\nAnswer: -4209136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106596 is divided by 6300.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)\/u*u\/(u\/(u**31\/u)) assuming u is positive.\nAnswer: u**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 414*l**5 - 290*l**2.\nAnswer: 24840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 544 and 28?\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 1\/6, 1\/11, -1\/13, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32228 and 12?\nAnswer: 96684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 5*b + 2*j, j + 3*j + 13 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/675 and 10 - ((-3291)\/116)\/((-855)\/304)?\nAnswer: 19575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 + 2*l**2 + 3*l - 1. Is x(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101344032 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v - 26. Let m be x(-7). Suppose 4*f + m = 0, 8*f = -4*n + 6*f + 448. What is the highest common factor of 76 and n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 8) to base 4\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:22 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-11*h**3 + 14*h - 14*h) + 17*h**2 - 17*h**2 + 3*h**3 + 14.\nAnswer: 25*h**3 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 11:21 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2611*k**3 - 222 wrt k?\nAnswer: 7833*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*g + 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/127?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/14, -1\/201, 37, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34101 + 27*x**3 - 10*x - 34101.\nAnswer: 27*x**3 - 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-398 + 494 - y + 2*y)*(9 + 3*y**2 - 5*y**2 - 7).\nAnswer: -2*y**3 - 192*y**2 + 2*y + 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/109 and (-4 + (-165)\/(-35))\/((-12)\/(-126))?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0 + (-4 + 2 + 4)*(-1 + 2 + 0))*(c**2 + 2*c**2 - c**2)*(152 - 174 + 123).\nAnswer: 808*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 441*k - 625*k - 4576*k - 42840 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3468965653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*p + 18, 6 = -3*n - 13*p + 15*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 3)*(2389 - 1211 - 889)*(3 - 1 - 4)*(2*m - 2 + 2) in the form i*m + r and give i.\nAnswer: 1156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.6 + 4. Let v = d + 3.6. What is the second biggest value in 2\/9, v, 3\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y**4\/5 - 1116*y**3 + 172053*y**2\/5 - 758712*y\/5 + 40572 = 0 for y.\nAnswer: -294, 2\/7, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469166?\nAnswer: 2, 17, 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 51900*t - 4536224.\nAnswer: -4*(t + 88)*(t + 12887)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 7)*(2*c - 4*c + 4*c) + (-1 + 1 - 2)*(4 - 4 + 2*c) + 2 + 2*c - 2.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 884 in -0.2, -12, -2\/73, -5?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/11 + 62*u**2\/11 - 8*u\/11 - 248\/11.\nAnswer: 2*(u - 2)*(u + 2)*(u + 31)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3))**(-1\/91))**15\/((v*v*v\/(v*v\/(v*(v**(-1\/4)\/v)\/v*v*v))*v)**(4\/5)*v**(-3)\/v*v**(1\/5)*v) assuming v is positive.\nAnswer: v**(323\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.952938ms in seconds?\nAnswer: 0.005952938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfsssssssfossfosofo. What is prob of picking 3 f?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -264 + 2109\/8. Suppose 2*l = -5*u + 31, -3*l - 2 = -5*u + 14. Which is the third biggest value? (a) 2 (b) w (c) -3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3) + sqrt(300)*2).\nAnswer: sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*19\/((-1216)\/2048).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a + 5*g - 10 = 82*a, 4*g = 7*a + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away 18.79229154?\nAnswer: -18.74229154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 10*z**3 - z**2 + z - 1. Let t be h(1). Suppose -m - m + 74 = 5*f, 0 = -3*m - t. What is the remainder when 30 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 - 833787?\nAnswer: -833767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 20*z - 92. Determine d(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 3*h + 8*h**2 - 14*h - 12 + 5*h. List the prime factors of g(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*n**3 + 26*n**3 + 43*n**3.\nAnswer: 93*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*d = 5, -44 = -4*u + 3*d - 9. Solve u*o + 15 = 10*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 43356.\nAnswer: 1\/43356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*30\/(-24))\/((-3)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5038 + -5041. Let t be -1 + ((-8)\/1)\/2. Sort r, 13, t.\nAnswer: t, r, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10562, 10563, 10564, 10565, 10566, 10567?\n\"Answer: t + 10561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18598769?\nAnswer: 7, 127, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -42*w + 3. Suppose -3*r + 1 = -2*d - 1, -5*d + 2*r + 6 = 0. Let h be t(d). Let k = 118 + h. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from lif?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3683 + 4352. What is the remainder when u is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.51 minus 0.04403?\nAnswer: -35.55403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1512 is divided by 501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.691097ml?\nAnswer: 0.000691097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -27 - (-4)\/(-2). Calculate the highest common divisor of 200 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 - 6*q**2 + 3*q**3 - 101*q**3.\nAnswer: -98*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 12*l - 3*l)*(1 + 2 - 5*l + 3*l).\nAnswer: -14*l**2 + 21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 32\nAnswer: -23\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 111001011010110110000111?\nAnswer: -111001011010110110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -235, -241, -251, -265, -283?\n\"Answer: -2*h**2 - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (1 - (4 - 3)). Suppose 3*v = -4*n + 9, -l*v - n = n - 9. Suppose 3*j + v*a - 324 = -0*j, 0 = -3*j - 4*a + 319. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*w**3 + 321*w**3 - 613*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2746*a - 2746*a + 66*a**2)*(-3 + 9 + 1).\nAnswer: 462*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -11085808*l. Let a(t) = 2*t**2. What is a(n(p))?\nAnswer: 245790278025728*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4655 + 13*v + 5750 - 10405.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d + 10 = 0. Suppose -2*r + 10 = c, -80 = -c - d*c + 4*r. Solve c = -w - 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (29 + 6\/(-3))*4. Let l = -76 + u. Suppose c + 4*r - l = 0, -2*r + 106 = 4*c + 3*r. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 62\/16 + (-54)\/(-432). Suppose 5*k - 1 = -4*x - 7, 5*k - 26 = 4*x. Solve a*c = k*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.99 and 227069.7368.\nAnswer: 227071.7268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 + 1. Let r be (24\/40)\/((18\/(-64))\/(-1)). Let k = -106\/45 + r. What is the closest to -1 in q, -7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-8))\/(79\/(-158)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5599627*f**2*s - 2*f**2 - 24407982*f*s wrt f.\nAnswer: 11199254*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12.1 - 6712158961\nAnswer: -6712158948.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o - 23. Suppose -4*j = -m + 1, 4*m + j = 2*j - 71. What are the prime factors of n(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18630 is divided by 442\/14 - ((-24)\/105 + 60\/75).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**9\/336 - t**6\/120 - 2*t**3 + 5. Let v(a) be the third derivative of s(a). What is the third derivative of v(h) wrt h?\nAnswer: -540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-52)\/6 + (-6)\/(-9). List the prime factors of 16579\/11 + r\/44.\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**3 + 4*d**2 - 3*d + 3. Let f(n) = 3*n**3 + 5*n**2 - 4*n + 4. What is 5*c(j) - 4*f(j)?\nAnswer: 8*j**3 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8*n = -7. Is 0 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2. Let z(d) = 131*d + 3. Give z(w(j)).\nAnswer: -131*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 2. Let t(h) = -h - 1. Let q(o) = l(o) + 2*t(o). Let c(b) = -8*b - 9 + 4*b - b**2 - 4 + 3. Let w be c(-3). What is q(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 13376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -741*v**2 + 1480*v**2 - 20*v**3 - 739*v**2 - v**4 + 1 as f*v**4 + k*v + t*v**2 + r + q*v**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*q + 5*d = 18, 0 = q - d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 + 16*t + 52. Determine g(-7).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21644.\nAnswer: 2, 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712*i**3 - 151*i**3 + 3 + 73 - 559*i**3.\nAnswer: 2*i**3 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/4 + 423*m\/4 + 417\/2.\nAnswer: 3*(m + 2)*(m + 139)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/7 and 42\/14*58\/(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*(45\/(-35) - -1). Suppose c*o - 26 = 5*j, 4*j + 34 = -o - 4*o. Which is smaller: -8 or j?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3169 divided by -1.\nAnswer: 3169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(4*(sqrt(63) + sqrt(7))) + -4*(sqrt(6) + sqrt(18)\/sqrt(3))\/sqrt(3))*1.\nAnswer: -127*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3050 + 1388. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5903 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -41.46. Let l = i - 52.46. Let h = 53 + l. Which is the second smallest value? (a) -2 (b) 6\/13 (c) h (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40817695 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 269897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2033.41 micrometers in centimeters?\nAnswer: 0.203341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r**2 + 6*r + 5. Let s(y) = -7*y**2 - 5*y - 4. Let p = 0 + 6. Give p*s(k) + 5*x(k).\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5427 (base 12) to base 14.\nAnswer: -3527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1757985 is divided by 50228.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9*a**2 - 4*a - 28. Let c(l) = -l**2 - 2*l - 1. Determine -3*c(i) + g(i).\nAnswer: -6*i**2 + 2*i - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -8. Let q = h - 2.8. Is q greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0788 times 1.9?\nAnswer: -0.14972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1120 (base 3) to base 16\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 15, 3 in descending order.\nAnswer: 15, 3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 3) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -5*z**2\/2 - z - 204. Let t = -6 - -4. Let p = -1 - t. Give u(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14484 * -0.5\nAnswer: 0.07242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o - 11*o + 37*o)*(4*o**2 + 3*o**2 - 4*o**2)*(-2 - 1 - 10).\nAnswer: -1482*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than -7912\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3325427 is divided by 3325421?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -131*p + 128*p + 1, 5*y = -3*p - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3012 divided by -6.\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-11)\/33 - 23\/51. Which is the second smallest value? (a) 0.3 (b) -4 (c) 0.02 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/55 and -119\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 9:19 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**3 + 13*a**2 + 55*a - 7. Let p(o) = -4*o**3 + 6*o**2 + 28*o - 4. Let w(f) = -3*i(f) + 5*p(f). What are the prime factors of w(12)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -651480?\nAnswer: -1\/162870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 10*m**2 + 2*m + 8. Let y(k) = -21*k - 25. Let a be y(-2). Let x be c(a). What is x rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-18))\/(2\/(-12)). Let y be -4 - ((-57)\/63 - 3). Sort v, y, 3.\nAnswer: v, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6525695066 + 926658011551\/142. Let m = -65579 + b. Find the common denominator of 6 and m.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 47*j + 229761 = 0. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 7*f + 127*f**2 - 129*f**2)*(-43*f**2 + 24*f**2 + 36*f**2 + (2*f - 3*f - f)*(3*f + 0*f - 4*f)).\nAnswer: -38*f**4 + 209*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30128)\/47344)\/(364\/(-22))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 16*f**2 - 54*f + 11. Let k be a(7). Suppose o - k = -4*j, 0*o - o + j + 89 = 0. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4036, -4042, -4048?\nAnswer: -4054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 31*w**2 + 5082*w - 322. What is m(-164)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 1:32 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21 (b) -3082 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4263?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 83*m**2 - 158*m - 336. Let q be f(81). Let i(x) = 20*x + 236. Calculate i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74776.35 millennia in centuries?\nAnswer: 747763.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - 0. Let f = l + 7. Suppose -48*w + 46*w = -8. Calculate the remainder when w is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**2 + 3*l + 3. Let q = -10 - -15. Suppose -4 = -m - q. Let s(y) = y**2 - y - 1. Give m*c(h) - 3*s(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from popaoppoopa. What is prob of sequence oa?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*q = 52 + 8, -z + 3*q = -30. What is the least common multiple of 42 and z?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 562 + -559. Suppose 5*y - 20 = -k, -2*k - 4*y = -11 - 5. Suppose k*s = -s + x. Solve s*g + 3*m = 6*m, 3*g - m = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51752 divided by 2\nAnswer: 25876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 - 5*i**2 + 5*i + 18. Let t(j) be the second derivative of j**5\/10 + j**4\/3 - 2*j**3\/3 - 17*j**2\/2 - 36*j - 157. Calculate -4*a(d) - 5*t(d).\nAnswer: 2*d**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 673*m**2 + 6165*m + 218. Determine k(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29437.9999925738 + -29438. What is r rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 2*u**2 - 5*u - 3. Let n be o(-3). Suppose -g = n*g. Find a, given that 0*a**2 + g*a**3 - a**2 + 4*a**3 + 3*a**4 - 1 - a**2 - 4*a = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, s: 7}. Give prob of picking 3 s and 1 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.257 + 153.443. Let l = 45.6 - v. What is l rounded to the nearest integer?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 5*o - 40. Let b be z(10). Let j(u) = u**3 - 7*u**2 - 7*u + 22. Does 21 divide j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92366\/25983 + -2\/2887. What is the fourth smallest value in -4, 0, q, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -512756*t**6 - 18*t**2 + 46*t + 6.\nAnswer: -61530720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/(-2))\/((-3)\/270) is divided by (43 + -19)\/(0 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -5345541?\nAnswer: -5345540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3662398*j**3 + 3*j**2 + 85455*j.\nAnswer: -21974388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (-11 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -65416817 divided by 3\nAnswer: -65416817\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -26. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 1. Let h be s(-9). Suppose 4*o - 3*q = 2*q + 22, 4*q + h = 0. Let a be (1 + -1)\/(-15 - -11). Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 7:17 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -687 + 69a?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + 5 + sqrt(57)\/sqrt(147)).\nAnswer: 3*sqrt(19)\/7 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 4. Let y be s(2). Let n be y\/8 - 75\/(-20). Let h = -44 - -46. Solve -2*j + 9 = h*d + 3, 0 = 3*d + n*j - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1483763 is divided by 86?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a. Suppose -15 = -5*g, -5*r - 5*g + 13 = -4*g. Let k(t) = -3*t**2 + 4*t**r - 4*t**2 - t**2. Calculate k(m(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -1 + (3 - 1). What is the smallest common multiple of -1 + -1 + s - -4 and 13\/2 + 8\/16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 134*a**2 - 1008*a + 10. Let q be l(-8). Solve -60*i + 65*i = s + q, 0 = i - 5*s - 26 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488426327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2822933*f**2 - 3*f + 0*f + 3*f.\nAnswer: 2822933*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 573 = -m + 4*a, m + 2*a + 581 = 0. Calculate the remainder when (m + 4)\/(-9) + -1 + 2 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 178*n**2 - 353*n - 1089. Calculate m(180).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1317124 in -3, -0.4, 1\/3, -0.3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 4. Let x = 15 - 9. Let g = 8 - x. Solve c*k + 0*k = -g*l, 2*l = k - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Differentiate -2 + 1 - l*d**4 - d**4 + 2*d**4 with respect to d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 2. Determine b(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15646091.\nAnswer: 1699, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 13206.45\nAnswer: -132.0645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-4\/9))**(-1\/25)\/(i*i**(-4\/13))**46 assuming i is positive.\nAnswer: i**(-93319\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.028? (a) 1 (b) 3\/8 (c) 0.02 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9504 and 1146048.\nAnswer: 113458752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*g + 2*g = -16, -5*b = 4*g - 23. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -136, -134?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 3:01 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1872) + 0 - sqrt(1872))**2*-5 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4 = -4*f, n - 2 = 2*f + 2*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - v. Let k(w) = -12*w**2 + 10*w. Let x(d) = -k(d) - 10*u(d). Let l(n) = -15*n**2. Determine l(x(q)).\nAnswer: -60*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311027 (base 8) in base 3?\nAnswer: 200112210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884934.5 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, -1\/5, 294.722, -3 in decreasing order.\nAnswer: 294.722, -1\/5, -3, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27846, 55685, 83524, 111363, 139202?\n\"Answer: 27839*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 455*w**3 + 9 - 2*w.\nAnswer: -455*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.15 + 0.35. Let y = 11 - b. What is the third biggest value in y, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38445040*h - 38445040*h - 10*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6696105?\nAnswer: 3, 5, 13, 23, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 7 (c) -0.4 (d) 22\/145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -13.7. Let t = -0.1 + y. What is the third smallest value in -4, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*t - 2*v + 1, 5*v + 2 = -t. Suppose 4*u = t*u. Suppose u = s - 8 - 3. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 15*i - 1700 = 0. Suppose 0 = -5*d + 4*r + i, r - 155 = -5*d + 210. What is the greatest common factor of d and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1485 + -23.0815. Let v = -23 - p. Let u = v + -0.23022. What is u rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -93*r**2 + 95*r**2 - 5*r + 6 + 4*r - 3*r**3 - 8. Determine o(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -0.0384.\nAnswer: -0.1384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 0, -1379 in descending order.\nAnswer: 2, 0, -4, -1379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -478 - -6211\/13. Let m = 28\/65 + i. Put -0.4, -1, m in increasing order.\nAnswer: -1, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -55d + 1a?\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/16)\/(l**(21\/5)*l))\/(l**(-6)\/(l\/((l*l*l**(-21))\/l))) assuming l is positive.\nAnswer: l**(1749\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8921, 0.5, -0.5, 3.4.\nAnswer: -8921, -0.5, 0.5, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**2 - 557*u + 8227. Calculate m(60).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8275296923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -2115 in increasing order.\nAnswer: -2115, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -5 - 5) + 9 - 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**9\/5040 - d**7\/1260 - d**4\/12 - d**2. Let a(x) be the second derivative of j(x). Find the third derivative of a(m) wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*t + 2*t**3 - 10*t + (-35*t - 73*t + 36*t)*(3*t - 4*t + 3*t)*(-3*t + 0*t + 2*t).\nAnswer: 146*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -62.50335 <= 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 432*w**3 - 10008*w**2 + 1659*w - 69 = 0. What is w?\nAnswer: 1\/12, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 11:39 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z - 51. Let b be m(20). Find the second derivative of 10*g**4 + b*g**5 - 2*g**5 - 5*g**5 - g**5 - 19*g wrt g.\nAnswer: 20*g**3 + 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 11:59 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1328 + -1079. Is o at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2348 - 4308.4. Round y to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 22 + 10 = 0. Let q be k\/(-56) - (-2)\/(-7). Put -21, 2, q in increasing order.\nAnswer: -21, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*h = 105 - 310 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, b: 2, q: 2}. Give prob of sequence bb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 11801.5\nAnswer: 11801.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349910 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/54)\/(210\/(-450)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1546*h**3*i - 6*h**3*v - 2*h**2*i*v - 21016*h**2*v + h*i wrt i?\nAnswer: -1546*h**3 - 2*h**2*v + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4351 + 104401\/24. Let c be -2 + 1\/(5 + -4) - -23. What is the common denominator of v and (649\/c)\/((-15)\/2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 2 in decreasing order.\nAnswer: 4, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 124*y**2 + 2*y - 1. Let w be z(1). Suppose -2*i + w = 3*i. Suppose 0*s = 5*s - i. Solve -b = -0*b - 2*m + 7, 0 = -s*b + 3*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3034.909 from 94.\nAnswer: 3128.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdzyi. Give prob of picking 1 i and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 + 271*a**2 - 152*a - 2173. Let m be f(-136). Solve m*y + 3 = 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6654 (base 9) to base 10.\nAnswer: 4909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (122*x + 290*x + 387*x + 1365*x)*(0 - 4 + 2)*(x + 0*x - 2*x) to l*x**2 + o + g*x and give l.\nAnswer: 4328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 120*l - 18. Does 6 divide b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*x = -5*h + 1771, 4*h - 2*x = 1762. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 674*c + 24168. Determine q(38).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4483881563?\nAnswer: 7, 17, 487, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699430131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 5239478 + 5239496 = -2*a, 14 = 2*a + g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2796785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 6. Let u(v) = 8*v - 53. Let z(t) = -18*n(t) + 2*u(t). Give z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6 + w - 3*w + w**3 + 2*w**2 + 4*w**2. Let f(i) = -i - 1. Let a be f(5). Calculate y(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 4743?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 18 + 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 826 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5764601291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 258 - 154. Let u = o + -83. Let i = u - 16. Solve 0*p + 4*p + 4*b - 16 = 0, -i*b + 12 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7106604908 to the power of 1\/5, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -575331, -575055, -574765, -574455, -574119, -573751?\nAnswer: -573345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1945*b - 3 + 902*b + 1 - 748*b.\nAnswer: 2099*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 + 3*w + 101. Determine m(-7).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 78882.84um?\nAnswer: 78.88284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167 + -280. Which is smaller: -112 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 551\/(-55) + 9\/45. Let u = -518\/55 - x. Which is the smallest value? (a) u (b) 0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -31\/3 (b) 2\/13 (c) 1 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 1, f: 7, r: 4, i: 1, p: 5}. What is prob of picking 2 r?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4293881*q + 6446246 wrt q?\nAnswer: 4293881","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.99 in -0.04269, -10, 5?\nAnswer: -0.04269","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(((k*k**2\/k)\/k*k)\/k)*k**(-1\/3))**(2\/43) assuming k is positive.\nAnswer: k**(10\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 2207563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 1. Let i be x(1). Solve i = -3*w + 2*w + 4, -9 = h - 2*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(187) + sqrt(187) - sqrt(187) - 6*(sqrt(187) - (sqrt(187) + sqrt(187)*-1 + sqrt(187) + sqrt(187))))\/(4*1*sqrt(891)))**2.\nAnswer: 68\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-8))\/5*(-380)\/(-57).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 + (-6704)\/56 - 3. Is -1\/2 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 1*(3 - 3). Let v be (-1)\/(-2)*0\/i. Suppose 20 = -5*k, v*n = n + 4*k + 14. Solve -5*z = -4*q + 4, n*q - 5*z - 2 = -2*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m. Let n(t) = -5090709*t**2. What is n(w(a))?\nAnswer: -5090709*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 21. Let j = l + -14.88. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 + -12.85. Let z = f + 14. What is the closest to 1 in -5, -0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/8 and 5\/10602.\nAnswer: 42408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*(-2 + sqrt(405))*4)**2.\nAnswer: -5400*sqrt(5) + 58945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 19 - 11*z + 24*z + 5 + 2. Let u be v(-12). Suppose 3*q + 14 = u. Solve w - 6 = 3*s - q*s, -4*s = -w + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/(-4) - 2)*(-240)\/135. What is the smallest value in 1\/4, 4\/5, 1.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12282, 24569, 36864, 49167?\n\"Answer: 4*v**2 + 12275*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 + 21*g - 19. Suppose -2*p + 61 = 2*v - 7*v, -53 = 4*v - 3*p. Is s(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-1008)*-21)\/((-35)\/(-1512))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101022 (base 4) to base 10.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 10*r - 9 + 103\/2*r**2. Is z(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 21.16 (b) -1\/7 (c) 1 (d) -2\/185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-68)\/12 + 5 + 0). Let s be (w + (2 - 0))*8\/(-24). Factor -1\/3*a + 0 - s*a**2.\nAnswer: -a*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2764 + 37?\nAnswer: 279b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1936 + -1943.64. Which is bigger: l or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -92*x**3 + 3*x**2 + x + 1. Let f be k(2). Let t = f - -740. Solve 64 = -9*m + t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + j + 21252168 = 0, -4*j - 9783051 + 2698995 = w. Is 2\/18 + w\/(-378) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*32\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13416 and 10?\nAnswer: 67080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 96 = -3*p, -p - 4*z - 14 = 25. What is the fourth biggest value in 1\/4, 0.4, -4, p, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 17. Let h(s) = 1. Let n(p) = p + 7. Let f(y) = h(y) - n(y). Let k = -85 + 78. Let c be 10\/(-2) + (-4 - 35\/k). What is c*q(x) + 11*f(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 289, 454, 639, 850, 1093?\nAnswer: 1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -22*o + 38. Let n be b(14). Let q = 409 + n. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.344 and -212234608?\nAnswer: 212234607.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23848 and -5131.239412.\nAnswer: -28979.239412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25078 + 33050. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304712 divided by -7432.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 5}. Give prob of sequence mmm.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*v + 26 = 0, -50*v + 18 = -5*f - 52*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -755 + 756. Are 3\/34 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52762 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 + 11*f**2 + 18*f**2 - 50*f**2 + 12*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2506 (base 10) in base 13?\nAnswer: -11aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 92 - 65 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*d**5 + 12*d**5 - 12*d**5)*((5 - 6 - 2)*(2 - 1 + 1) - 2 - 3 + 4 + (2 + 2 - 3)*(-3 + 0 + 2) - 5 + 4 + 0 - 4 - 1 + 3).\nAnswer: -253*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3959 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11324 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(1392\/(-12))*-248.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165446 = 51*c - 125458. Is 62 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6*n - 0*n. Let z = 16 - n. Suppose -13*i + z*i - 12 = 0. Put -1, i, 6 in descending order.\nAnswer: 6, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*n**3 + 211*n**3 - 115*n**3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/34989847 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/11)*l*l*l)\/l*l)\/l*l\/l**(-2\/7)*l**(-2\/69)*(l*l**(-4\/37))\/l assuming l is positive.\nAnswer: l**(565346\/196581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5099.3 - -5262?\nAnswer: 10361.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from bfbbbbbmfbbbff?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -259745901 rounded to the nearest 100000?\nAnswer: -259700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w + 25*w = -5*u + 22, -3*u + 27 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -522*v**3*w**2 - v**2 - 134*w**2 wrt v.\nAnswer: -3132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/180 and -99\/16.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 139099, 278221, 417345, 556471, 695599?\n\"Answer: r**2 + 139119*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96.1 - 96. Let s(v) = 2*v + 37. Let q be s(-18). Let u(d) = -29*d**3 - d**2 + d + 1. Let t be u(q). What is the closest to 1\/2 in o, -1\/11, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 4. Let y = -7 + 7. Suppose 4*t + 4 = y, 4*f - 6 = 2*t + 16. What is h(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-two fifths of a micrometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(30)\/(sqrt(384) - 3*sqrt(384)))**2 + (-4*(sqrt(320) + 0))**2).\nAnswer: -3932175\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/5 + 264\/40 + -7. Is (14\/(-4)*14)\/o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57 or 11471\/203?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:30 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z**2 + 10*z + 9. Calculate p(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + 16365\nAnswer: 16365.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-498*j - 1471*j - 532*j)*(-5*j**4 + 3*j**4 + j**4) + (2*j**4 + 0 + 6 + 0*j**4)*(-6*j + 2*j + 2*j).\nAnswer: 2497*j**5 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(700) - 2*sqrt(7)*-2).\nAnswer: 5 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 562 = -2*v. Let y = v - -12928\/23. Let t = 3\/10 - 4\/5. Which is the biggest value? (a) y (b) t (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2. Let q(d) = -11 + 11 + 25*d**2 + 16*d**2. Calculate w(q(a)).\nAnswer: 5043*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 t, and 1 m when four letters picked without replacement from {a: 2, t: 4, n: 1, f: 3, m: 3, k: 6}.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -200 + 341. What is the remainder when n is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78.4725557 - -78.47. What is d rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.24 + -0.2451. Round a to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 1.3, 1\/2, -1, -10, -6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-7)*w)\/(w\/w**(-25)) assuming w is positive.\nAnswer: w**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o + 15. Let p = 249 + -244. Let x(j) = -j - 6. Let y(h) = p*x(h) + 2*k(h). Let a(v) = -52*v. Give y(a(t)).\nAnswer: -52*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5*f + 45 = 0, 0 = -10*k + 8*k + 3*f + 27 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1221220210 (base 4) to base 11\nAnswer: 276092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + ((sqrt(468) - 2*(sqrt(468) + 0)) + 2*sqrt(468)*3 + ((sqrt(468) + 0)*5 - 5*(sqrt(468) + 1)))**2.\nAnswer: -300*sqrt(13) + 11731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 409435 + -409339.0236. Let a = l + -96. What is a rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = -4*q + 767. Let l = 132 - q. Sort l, -3, -5, 5.\nAnswer: l, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 42 = -a - 0*t, a + 2*t - 51 = 0. Let z = a + -31. Calculate the remainder when 39 is divided by (16\/52)\/2 - (-256)\/z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.35 - -6. Let o = i + -0.2. Let l = o - -0.21. Round l to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - 1*sqrt(33)*4)\/(sqrt(12)\/sqrt(16)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 253, 255, 259, 265, 273, 283?\n\"Answer: n**2 - n + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from {n: 2, z: 2, d: 2, t: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5173961072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5450*q - 5211*q - 717 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -0.733834\nAnswer: -5.136838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 16*s - 261. Is p(26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.71452267 rounded to four dps?\nAnswer: 3.7145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(2*(-1)\/1). Let h be (m\/(-5))\/(4\/(-10)). Let z(v) = v - 1. Let d be z(1). Which is smaller: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**5 - 31*u**4 - 4567*u**3 + 718564*u**2.\nAnswer: -120*u**2 - 744*u - 27402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*v - 2*v = -64, 3*w + 132 = -3*v. Let l = w - -50. Put l, 0, -6 in ascending order.\nAnswer: -6, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 876*u + 20 + 0 + 24.\nAnswer: 876*u + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -86, -92, -98?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.354 + 109.354. Let f = s - 111. Let u = -302\/7 + 43. Which is the second biggest value? (a) f (b) -3 (c) 6 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 10*l - 16. Let y be z(8). Solve -2*c - 3*c = 2*v + 10, -4*v - 3*c + 8 = y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 0 - 15)*(-2*c**2 - 4*c**2 + 0*c**2)*(2*c + c**2 - 9*c**2 + 3*c**2).\nAnswer: -1380*c**4 + 552*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9457\/980*-4 - (-6)\/10.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.38156 to 1 decimal place.\nAnswer: 75.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/70)\/((-70)\/245)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73996 is divided by 4918.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3305572 is divided by 336.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n + 9. Let o be l(-4). Is -2 + 3 + o + 1 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5126 + -5125.999970859. Round q to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140617?\nAnswer: 140617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-3 - 3 + 0)*(2 - 2 + 3)*(-n - 2*n - 2*n).\nAnswer: 180*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -7, -13911, -283 in decreasing order.\nAnswer: 1, -3, -7, -283, -13911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51880 and 51880.\nAnswer: 51880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/4*(-4)\/5. Let m be ((-2)\/3)\/(c\/(-129)). Let y = m + -27. Calculate the remainder when 46 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -340 + 343. Let r(x) = x**2 - x - 1. Let i(k) = -k**2 + k + 1. Let m(n) = 4*i(n) + 5*r(n). What is the remainder when m(u) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.04, 0.5, -1, 2\/5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97479057101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 637.05474 - 631.0547414. Let g = p + -6. Round g to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005001279 to seven decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11553*q - 11553*q - q**2. Let t(j) = 401*j**2. Calculate t(d(p)).\nAnswer: 401*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -0.3 (c) 0.3 (d) 4 (e) 0.04 (f) 15\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 196 = -196*k, -5*k - 5 = 21*d - 23*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13 + (-112296)\/(-132) - (42\/(-33) + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 446 + -445.5. Let t be ((-1)\/(-6))\/(3\/(-6)). Which is the second smallest value? (a) 0 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 18 = 0, -145*l + 144*l + 4 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44946, 45021, 45096?\nAnswer: 45171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*p - 30, 3*v = 5*p + 40. Find the third derivative of -121*f**2 + 44*f**v + 209*f**2 - 126*f**2 wrt f.\nAnswer: 2640*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 3, -2\/737, -4188?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 46085*x**2 + 598190*x - 644280.\nAnswer: 5*(x - 1)*(x + 14)*(x + 9204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k - 2*k**2)*(4*k + 3 - 3) + 0 + 0 + k**3 + (-1 - 4 + 3)*(1 + k**3 - 1).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 13 = -3*j, -4*j - 3*l + 2*l = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 + 5*r + 6. What is the remainder when u(-2) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1491 = -9*h + 3705. What is the smallest common multiple of 18 and h?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -21. Suppose -4*k = 5*m + 4560015, i*m = 3*k + 2086695 + 1333293. Round k to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2484284.\nAnswer: 2, 11, 131, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 1, x: 1, l: 2}. Give prob of sequence dul.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qljq when four letters picked without replacement from lyqjllylyqlql?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 510 or 513?\nAnswer: 510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -94. What is the third derivative of 67 - 140 - o*u**4 - 4*u**2 + 72 - 56*u**4 wrt u?\nAnswer: -3312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -2 (c) -1\/4 (d) 5757\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -be976 (base 16) to base 12\nAnswer: -317932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 455587 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w - 2 + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1654 - 5815 - 4451 = 2153*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyoiixxmmooymij. Give prob of picking 1 j, 2 x, and 1 m.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 - 34. Suppose 0 = 3*b - 3*x - k, -15 = 5*x - 0*x. Suppose -3*a + 156 = -30. Calculate the remainder when a is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(156)*-1*2)\/sqrt(12).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**3\/7 + 55312*a**2\/7 + 6471588*a\/7 + 6416280\/7 = 0.\nAnswer: -13710, -117, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 13. Give l(-11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108289150 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 11:17 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*-1*-4)\/(-6*sqrt(99)).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + (-136)\/(-12))*30. Let s be 8\/(-28) - (l\/(-9))\/(-2). Let u = 128\/9 + s. Find the common denominator of u and -27\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**4\/8 + 188943*c**3\/8 - 2267613*c**2\/8 + 8503905*c\/8 - 4724475\/4 = 0?\nAnswer: -62993, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 3*t + 22721 - 10217 + 26543 - 676.\nAnswer: 2*t + 38371","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860500.\nAnswer: 2, 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70665 (base 11) to base 4.\nAnswer: -121031310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2. Let f(g) = 2*g**2 - 10*g + 10. Let c(w) = w**2 - 3*w + 3. Let b(j) = 10*c(j) - 3*f(j). Determine k(b(s)).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -940, -1882, -2822, -3760, -4696?\nAnswer: -5630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*k + 5. Suppose -2*r + 0*r + 24 = 4*l, -3*l + 4*r = k. Is 2 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/32*((-7)\/(-42))\/(3\/(-96)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 176, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4815?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**4*u**2 + 2*n*u**2 - 2359*n + 8015*u**2 with respect to n.\nAnswer: 4*n**3*u**2 + 2*u**2 - 2359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/10)\/(38\/(-95)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*r = -2*p - 96, 5*p - 3*r = -222. What are the prime factors of ((-20)\/35)\/(3\/p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 + 73\/3. Suppose 5*d = -501 - 354. Is -2*4\/(k\/d) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 215, 295, 375, 455?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and 4626?\nAnswer: 740.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 423.336 - 454. Let o = 34.46395 + v. Let b = 3.8 - o. What is b rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 4*c**2 - 6*c + 24. Let f be d(5). Suppose t - 85 = -f. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/33)\/(105\/(-630)). Which is the nearest to 0? (a) -99 (b) 1 (c) -4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.74 to 0 dps.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 634*r - 133*r**2 - 73 + 73 + 63*r**2 - 306*r**2 wrt r?\nAnswer: -752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 12:02 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxbywwb. Give prob of sequence bq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 1\/4 (b) -3 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7467929 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 + 7*j - 2*j**2 - 12*j - 17*j to w*j**2 + x*j + b and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-168351297)\/1176993 - (1 + (-118)\/114)\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*w + 1)*(3 - 6 + 1) - 5 - 6*w + 5 - 53*w - 5*w + 20*w - 2*w - 2*w + 5*w.\nAnswer: -47*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*i - 176*i**3 - 174*i**3 + 530*i**3 - 183*i**3.\nAnswer: -3*i*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*r = 40, -n - 3*n + r + 59 = 0. Let k = -18 + 22. Solve 2 + n = k*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -8. Let b = a - -15. Let k be (5 - (-2)\/b) + 1 + 0. Let y(z) = -z + 5. What is y(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*c - 39*c + 737 + 725 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2448) + -1)**2 + 3.\nAnswer: 48*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8006, -11841, -15678, -19517?\nAnswer: -23358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) - sqrt(300)*1)*5)\/(sqrt(36)*-6*-3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-50)\/(-100))\/((-103)\/2).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2257*l*m**3 + 8*l + 45*m**3 + 19*m**2 - 34 wrt m?\nAnswer: -13542*l + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*j - 10 = 4*t, 0 = 5*t + j + 24. What is the tens digit of 6739\/115 - (0 + 2\/t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**11\/(d**4\/d*d))\/(d**(-4))**(-41) assuming d is positive.\nAnswer: d**(-157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11164 is divided by 2231?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 9:03 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 16 = -4*n + 2*n, -3*n - 18 = 5*k. Let a be 3 + 3 + k + 2. Suppose -c + 15 = 5*d - 12, d = c - 9. Solve a*u + c = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 429582, 429585, 429588, 429591, 429594?\n\"Answer: 3*y + 429579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1450 is divided by 180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((81\/1620)\/((-1)\/(-108)))\/((-6)\/(-20))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8640)*-3)\/sqrt(12) - ((sqrt(80) + -3)**2 - (sqrt(5) - (2*sqrt(5) + sqrt(5)))*3).\nAnswer: -89 - 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 609496 divided by 304748\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 7\/2*b**2 - 4*b - 2 - b**3. Calculate h(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 248519 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43596.57 millilitres in litres?\nAnswer: 43.59657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05 from -0.0282895364449.\nAnswer: -0.0782895364449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + i + 5. Let c(l) = -3*l**2 + l + 11. Calculate -2*c(z) + 5*u(z).\nAnswer: -4*z**2 + 3*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 19*k - 28. Give r(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46602262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.5637, 2, -6\/5, -0.1 in increasing order.\nAnswer: -6\/5, -0.1, 2, 11.5637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 684873960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 11928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105.2 + -105. Which is the third smallest value? (a) -19 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170973 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, a: 1, b: 4, f: 2}. Give prob of picking 1 b and 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*7*(-3)\/27)\/(4\/6)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4 + 151*j**3 - 510*j**2 + 2*j?\nAnswer: -24*j + 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + w + 111 + 30 = 0, 0 = 5*y + 4*w - 136. Calculate the highest common factor of 140 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + 6f3f33?\nAnswer: 6f3f20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23605 (base 7) to base 4\nAnswer: 1133302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.93 + 17. Let m = i - 3.07. What is the closest to -0.1 in m, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325202.\nAnswer: 2, 162601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x**2\/7 + 59981463*x\/7 - 4284390 = 0. Calculate x.\nAnswer: 1\/2, 9996910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + u + 79 = 3*r, r - 2*u = 76. Let q = -73 + r. Is (-1988)\/(-44) - (q\/(-11) + 1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -72*b**3 - 2*b**2. Is 5 a factor of k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/((-2)\/9). Let n(k) = 5*k**2 + 6*k - 2. Let p = -6185 + 6193. Let l(i) = -2*i**2 - 2*i + 1. What is j*n(y) + p*l(y)?\nAnswer: -y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, 0.3, -83, -16, -0.1 in ascending order.\nAnswer: -83, -16, -14, -0.1, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 17. Let i be 0\/(-2 + 6)*(-38)\/152. Calculate g(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 2. Let r be t(-1). Is (2 - -2) + (r - -1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (0 - -3)) + -3. Let g = 3.6359 - 0.0859. Let t = -3.61 + g. Which is smaller: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m + 0*m**2 - 5*m**2 + 4*m. Let c(b) = b**2. Calculate c(a(x)).\nAnswer: 25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 144615*h**2 - 1278723840*h - 3580667267980.\nAnswer: -5*(h + 6866)**2*(h + 15191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*a + 4999 = 103. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188*u**6 - 2*u**2 - 1?\nAnswer: -22560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 + 21*d\/2.\nAnswer: -d*(d - 63)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33360 and 740036?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 4*p + 13. Let w be q(-7). Differentiate 16*f - w - 4*f + 81*f - f wrt f.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3 - 4*s**2 + 16*s + 16 = 0. Calculate s.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j - 5*j)*(3*j**2 + j**2 - 2*j**2) + 3*j**3 - 2*j**3 + j**3 + (4*j + 6*j + 0*j)*(0*j**2 + 3*j**2 - j**2) + 165*j**3 - 47*j + 47*j.\nAnswer: 181*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + i - 6, 118313*c - 20 = 118317*c - 3*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10823 and 10823.\nAnswer: 10823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or -1\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*c**3 - 17*c**3 - 77*c**3 + 51*c**3 + 285*c**3.\nAnswer: 206*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (5 - -2)) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.32 - 0.68. What is the biggest value in -0.3, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -4. Let y = 1.45 + -0.05. Let n = a - y. Put n, 0, -3 in descending order.\nAnswer: 0, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 160 - 7?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 - 4*j + 2. Let s(g) = 4*g**2 - 5*g + 3. Let p(d) = -3*m(d) + 2*s(d). Determine p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -32116*s. Let y(p) = 18*p**2. What is y(v(i))?\nAnswer: 18565874208*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.76? (a) 2\/7 (b) -77 (c) -0.12 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**4 - 489261*x**3 - 26599000239*x**2 - 482142312050127*x - 4818763709708370 = 0.\nAnswer: -54359, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -10. Suppose -6*s - j = -2*s. List the prime factors of 2\/(-5)*(s - 21).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10555400 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 20. Let v be g(-9). Suppose z - 2*s = 5, s = v*z + 6*s - 1. Suppose 4*r + 3*o = 492006, -o - z*o + 8 = 0. Round r to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89)\/(-178)*8\/(-12)*6\/8*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 5*h - 1. Let w be q(4). Let p be 3\/(-15) - 20826\/w. Suppose -i + 827 = n, -i + 5*n + p = 4*i. What is i rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + 0 + 3 + sqrt(1300))**2 - (sqrt(1300) + sqrt(1300) + (-1 + sqrt(1300) - sqrt(1300)))**2*-3)*6 - (-4 + 5*(sqrt(1300) + -1)**2*5).\nAnswer: 500*sqrt(13) + 92351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1732509978 to the nearest integer?\nAnswer: 41623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 0. Let v be ((0\/(-1))\/2)\/2. Let m be -1 + -2 - (2 - 1). Sort m, j, v in ascending order.\nAnswer: m, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16017 and 21918.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 2*q**2 + 3. Let s(h) = -h**3 - 13*h**2 + 13*h - 22. Let p be s(-14). Let b(m) = -2*m**3 + 0*m**3 + 6 + 6*m**2 + 2. Determine p*y(o) + 3*b(o).\nAnswer: 2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345 - 347 + 4448*l + 7270*l.\nAnswer: 11718*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 1:30 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 61.060371?\nAnswer: -61.560371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 333300 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -24*z**3 + z**2 + 4*z + 4. Let r be c(-2). Let h = 194 - r. Let k(n) = 11*n**2 - 5*n + 5. Let i(s) = -5*s**2 + 2*s - 2. Give h*k(o) + 5*i(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -213615 or -213617?\nAnswer: -213617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1290709 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*14 - 24\/(-8). Let u = -6 + y. Suppose -4*g + 5*g = u. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fasf when four letters picked without replacement from {p: 1, a: 2, t: 1, r: 4, f: 2, s: 4}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0168446035 take away -0.40048?\nAnswer: 0.3836353965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1527*m + 14160 + 28154 - 5331 = -24097 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**4\/4 - 85*m**3\/4 - 455*m**2\/4 - 735*m\/4 = 0.\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 174a3 + 1?\nAnswer: 174a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:00 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*a, 5*l = 4*l + a + 34. Suppose -u - l = 11. Calculate the remainder when (-3)\/(-6) + u\/(-2) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(4\/19)\/(o*o**1)**24 assuming o is positive.\nAnswer: o**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 6*v + 0*v + (-6 + 6 + v)*(2 - 4 + 0) - 46 + 46 + 4*v)*(3*v - 2*v + v).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10074 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4\/5 - 22203*i**3\/5 - 133146*i**2\/5 - 266244*i\/5 - 35496.\nAnswer: -3*(i + 2)**3*(i + 7395)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2236 divided by -37011\nAnswer: -172\/2847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 3*(-2)\/(-15). What is the second biggest value in -3, i, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n. Suppose 4*a - 2 = -x, -3*a = -x - 0*a - 5. Let i be j(x). Find the third derivative of 6*d**4 - i*d**4 + 5*d**4 + d**2 wrt d.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(540) - (sqrt(540) + (sqrt(540) - sqrt(540)*1)*-4)))\/((sqrt(24) - (sqrt(24) + (2*sqrt(96))\/sqrt(4)) - sqrt(24))\/(-1*sqrt(162) + sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23785707.81 and -0.1.\nAnswer: -23785707.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 - 85. Let j be (g\/5)\/((154\/(-245))\/(-11)). What is the greatest common factor of 98 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15007 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*-10)\/((-4)\/22). Suppose 4*r - j - 5 = 0. What is the remainder when 28 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.008 - 0.003. Let k = 1.995 + q. Which is the closest to k? (a) -0.5 (b) -0.2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2054\/2054*(-1)\/1*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -649970, -1300069, -1950168, -2600267?\n\"Answer: -650099*s + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15000 divided by 375.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 944874816 a multiple of 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.87253ns in milliseconds?\nAnswer: 0.00002487253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923584?\nAnswer: 2, 14431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 63*v + 25. Suppose -36 = -5*l + 3*s, -2*l - 3*s = -2*s - 10. Let f(q) = 32*q + 13. Let y(c) = l*j(c) - 11*f(c). Differentiate y(h) wrt h.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 21*o**2 + 63 + 7*o**2 - 9*o**2 - 16*o**2 - 16.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mime when four letters picked without replacement from {c: 1, e: 1, i: 1, m: 2, t: 1, r: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g**2*r**3*u**3 + 73*g**2*r*u**3 - 37*g**2*u**3 - g*r*u**2 + 188*r**3*u**2 wrt r?\nAnswer: 54*g**2*r*u**3 + 1128*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 32*k**2 + 110*k - 13. Give v(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -268 + 259 + (0 - 17)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 73522 (base 13) to base 15\nAnswer: 416b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3572, -3550, -3528, -3506, -3484?\n\"Answer: 22*g - 3594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71649.\nAnswer: 3, 19, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqyqyyyyyyy. Give prob of sequence yqqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**4\/4 - 10*y**3 + 13*y**2 + 89*y + 45. Let x be l(29). Factor -10\/3*i - 5\/6*i**x + 25\/6.\nAnswer: -5*(i - 1)*(i + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + j - 12*j + 24 = -4*j, 3 = -j for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20253 + 20868 = -41*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -84000 rounded to the nearest one thousand?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 260864919 a multiple of 861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 2374. Let w = q - 1644. What are the prime factors of w?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 + 2 - 2 + (-8 + 8 - 2*l)*(0*l - l - l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 4 (c) -1.32 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h**2 - 4*h**2 + 12*h**2 to p + y*h + z*h**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 356012 and 1960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -28*r**3 - 3*r**2 - r. Let t be ((-86)\/6 + 15)*3. Let l(y) = -y**3 + y**2 + y. What is t*l(c) + n(c)?\nAnswer: -30*c**3 - c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 n when four letters picked without replacement from {z: 6, n: 4, q: 4}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24604, -49202, -73800, -98398, -122996, -147594?\nAnswer: -172192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 7*p + 106 + 105 - 454 + 109 + 119.\nAnswer: -7*p - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/9)\/j*j*j**16 assuming j is positive.\nAnswer: j**(146\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -51)*2\/(-5). Let s = z + -15. Calculate the remainder when 6 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6912608880 to the nearest integer?\nAnswer: 83142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*v**2 - 17*v**2 + 4*v**3 + (v**3 + 2*v**3 - 2*v**3)*(0 - 5 + 4) - v**3 - v**3 + 6*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 35*a + 28*a - 12.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9)*q**(-5))\/(q**(-4\/13))**16)**25 assuming q is positive.\nAnswer: q**(-2950\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17676963*j - 8024238?\nAnswer: 17676963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 1 - 9 + 54*f in the form d + w*f and give w.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -650 + -1?\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17635831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 77*k**2 - 9*k + 9. Determine o(1).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - t + 29 = -0*t - 4*n - 35, 0 = -n - 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5911913*g**3 + 895972.\nAnswer: 17735739*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 127*z**2 - 195*z + 2. Determine s(65).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 86.65.\nAnswer: -3.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ell when three letters picked without replacement from leelelleelllleeeeeel.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -20615\/3 (c) 3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5 - 24*p**4 - 10*p**3 + 132*p**2 = 0. Calculate p.\nAnswer: -11, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4213999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11789 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, m: 2, s: 1, t: 4}. Give prob of sequence mt.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 2*f - 20. Let y be q(-3). Suppose 20*u = y*u + 3104. Is u a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*w**3 + 48*w**4 - 4*w**2 + w**2 - 45*w**4 + 5*w + 2 + 26*w**3 as f*w**4 + x*w + n*w**2 + z + j*w**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 9 = -7. Let m = -10 + 6. Suppose -2*v + 4 = -o, o - 8 = -4*v - 0. Sort q, m, v in descending order.\nAnswer: v, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -29872*h + 59566. What is c(2)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 258*i - 297931 - 37803 - 171752. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 57. Let x be b(-19). Suppose -2*n - 2*v + 16 = 0, -2*n + 5*v = -4*n + 25. Sort n, -4, x.\nAnswer: x, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 183*x**2 + 200 wrt x.\nAnswer: 366*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(-5*((sqrt(304) - sqrt(304)*2) + 4 + -4) - ((1*sqrt(304))**2 + 4 + 5 + -1)).\nAnswer: -100*sqrt(19) + 1559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544039 is divided by 672.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**3 + q**3 + 0 + 6*q**3 - 4*q**2 - 10*q + 3*q + 4. Let b(s) = s**2 - 3*s + 1. Let a be b(4). What is y(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328 is divided by 204?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 9:22 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*p + 4*p + 873, t = p + 174. Let o = t - 62. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299, 337, 395, 473, 571?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32140 rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140 + 461\/4. What is the common denominator of o and -69\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2152.9 - 2152.7. Let s = 13\/15 - -7\/15. What is the nearest to 2\/7 in 0.5, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 4*a**2 - 2*a + 3. Let w = -1 + -2. Let i be k(w). Suppose 4*s = -4*m - 12, -s = -i*s + 4. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -58*k + 10. Is l(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((56 - 74*p - 56)*(1 - 2 + 4) - 4 - p + 4)*(-3 + 3 + 1)*(2 + 6 - 2)*(-7 - 3*p + 7).\nAnswer: 4014*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 64*s**2. Let d = 134 - 141. Let v be 393990\/70 + (-4)\/d. Let z(l) = 5629*l - v*l + 2*l**2. Give z(o(j)).\nAnswer: 8192*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0388 + -1.8612. Which is smaller: 2\/29 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34697032798 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Let j(b) be the third derivative of 0*b**3 - 8*b**2 + 2*b - 43\/30*b**5 + 0*b**4 + 0. Give j(o(n)).\nAnswer: -344*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**8\/10080 + s**5\/15 - 13*s**2. Let w(t) be the third derivative of o(t). Let q(j) = 7*j**2. Give q(w(g)).\nAnswer: 28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from xfwsssms.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:19 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) -0.3 (b) 1\/10 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -222, -205, -198, -207, -238?\n\"Answer: -p**3 + p**2 + 21*p - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q**4\/11 + 46*q**3\/11 - 4052*q**2\/11 - 3406*q\/11 + 680\/11 = 0.\nAnswer: -20, -1, 1\/6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 30, 60, 102, 156, 222?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g - 6. Let k(n) = -7*n - 5. Let v(j) = -6*k(j) + 5*y(j). Let a = -12 + 24. Let z(m) = -m - a - 12 + 24. What is v(z(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(4050))**2.\nAnswer: -180*sqrt(2) + 16201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 111\/15 - (-12)\/(-30). Suppose -u*b = -6*b. Find the second derivative of b*h**3 - 15*h**3 - 16*h**3 + 8*h**3 - 16*h wrt h.\nAnswer: -138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a milligram in micrograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*y + 19*y - y**3 + 14*y - 2*y**4 - 78*y + 19*y - 21*y**2 in the form d*y**3 + g*y + f*y**2 + n + p*y**4 and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*d - 8. Suppose -d = w + 4*w. Which is the closest to -0.1? (a) -0.4 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11057652 divided by 3394?\nAnswer: 3258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2724491923?\nAnswer: 2724491923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 + 4)*(-1 + 2). Let g(s) = -s**3 + 6*s**2 + 3*s - 9. Let b be g(6). Let z = c + b. Put -2, z, 5 in increasing order.\nAnswer: -2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125.1 - -3.9. Which is the third biggest value? (a) -0.4 (b) -1\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128478 smaller than 128475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*w**2 - 88*w**2 + 167*w**2)*(2*w + 0*w - w)*(w + 3*w - 10*w).\nAnswer: -1212*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -3) + 31 + -16\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5*w, 8*r = 5*r + 4*w + 19. Which is the fourth smallest value? (a) 27 (b) -3 (c) 3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w\/(w\/w**(-2\/145)))\/w*w\/w**(1\/5) assuming w is positive.\nAnswer: w**(114\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - 2*x)*(0 + 3 - 5)*(-1 + 0 - 1)*(-2*x - 3*x**2 + 2*x).\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4276350 a multiple of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10616072.\nAnswer: 2, 1327009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6519 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 623667962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3756 = 51. Let i = -736 + k. Sort 2, i, -16.5 in increasing order.\nAnswer: -16.5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*z - 24, -6*l + 36 = 14*z - 16*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 - 128. Suppose 4*k + 1136 = 5*a, 2*a - 1144 = -3*a - 4*k. Calculate the remainder when a is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(8\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 5. Let a be k(8). Let s be -1*(4 + (a - 1)). Suppose s = 3*w - 2*w. Solve w = -0*b + b + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 29*x + 10. Let y(q) = -43*q - 15. Let z(v) = -8*a(v) - 5*y(v). Is z(-5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 + 8*x**2 + 5*x + 5. Let l be q(-3). Suppose 11*v - l*v = 15, 4*v - 122 = j. Is -102 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3364 (base 10) in base 6?\nAnswer: 23324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(-6)\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-3))\/(5\/(-165)). Let n = 305 - v. Let z be (87 + -7)\/((-4)\/n). What is z rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -33, -28, -23?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 325 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -3bbb?\nAnswer: 3bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d + 23. Let q be j(-15). Let y = q - -1. List the prime factors of (-6)\/y - (-948)\/14.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**3 + 1024*d**2 + 8325*d - 18. What is s(-333)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -73 - 2a?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2228*i**2 - 1675*i**2 - 2266*i**2 - 1921*i**2 + 2021*i**2 + (-2*i - 2*i + 5*i)*(-2*i - 11 + 11) as u + t*i + y*i**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 318\/(-212)*2*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13005800 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2906*n*z**3 - 2*z**3 + 424*z wrt n?\nAnswer: -2906*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = f - 2*f, 2*j - 40 = 4*f. Let p = 1 - f. What is the remainder when (-1)\/2*(0 - 50) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -3612.7654.\nAnswer: 72.255308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-6 - 17 - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22556 (base 8) in base 4?\nAnswer: 2111232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242603\/1091511 - 5\/121279. Factor -4\/3*w**5 - 2\/3*w**2 + 0 + v*w - 10\/3*w**3 - 34\/9*w**4.\nAnswer: -2*w*(w + 1)**3*(6*w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 3)*(0 + 0 - 1) - 2 - 3 + 2)*((z**3 + 3*z**3 + 2*z**3)*(-1 + 1 + 3*z) + 6*z**3 - 6*z**4 - 6*z**3).\nAnswer: -60*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -694 divided by -3.\nAnswer: 694\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-18))\/((-11000)\/(-900)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -10*b - 154. Let m be i(-17). Which is greater: m or -0.6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -w - c + 5, -2*w = 5*c - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 3*z**2 + 5*z. What is c(-5)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + -6 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.4, 13, 1\/3, 2 in increasing order.\nAnswer: -4.4, 1\/3, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/((-4350)\/(-20))*9*(-22)\/12?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuhh when four letters picked without replacement from uhuuhuuuuuuuhuhuhu?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.3, 2, -2, 69, 5 in decreasing order.\nAnswer: 69, 5, 2, 0.3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 11*p**2 - 18*p. Let f be c(-9). Solve 18*x - 11 - 7 = f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -48*i**4\/5 + 336*i**3\/5 - 882*i**2\/5 + 1029*i\/5 + 164. Solve f(c) = 0.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4\/3, -0.1, 4, -806 in ascending order.\nAnswer: -806, -0.1, 0.5, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/5 + (6\/(-4))\/(12\/(-16)). Put -4, 4, b, 170 in decreasing order.\nAnswer: 170, 4, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*m - 611 = 4*m, 4*m + 373 = 3*z. Suppose -g + 7 = -z. What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7586 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189.21 + -190. Let a = r - 0.21. Put a, 2, -0.7 in ascending order.\nAnswer: a, -0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + 0.2. Let d = -18.9 + -6.1. Let i = d - -29. What is the second biggest value in 0, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 10:39 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43216)\/64)\/(-37) - (-15)\/20.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + sqrt(2448) + sqrt(2448) + (sqrt(2448) - (sqrt(2448) + -1 + sqrt(2448))**2) + 3 - (2 + sqrt(2448))*-3)*-1.\nAnswer: -132*sqrt(17) + 9784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/900 and -151\/108?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baba when four letters picked without replacement from bbjaajbjabajaj.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(((-3)\/(-69))\/(-1)). Suppose 16*u = 12*u + 12, -4*u + 22 = -2*s. Calculate the common denominator of -65\/4 and s*2\/(-8)*q\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1)*(t**2 - 4*t**2 + t**2)*(18*t**2 - t**2 + 37*t**2) to a + p*t**4 + y*t**2 + x*t**3 + m*t and give p.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-21) + (3 - 5).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (17 - 7)) + -4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + y + 31, -2*y - 33 = 2*v - 5*y. Let w be 5130\/8 + v\/(35 + 1). Suppose -5*u + 865 = 4*c, -3*u - w = -3*c + u. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 450\/4*(40\/15 + -2). Suppose 4*k - 1131 + p = 0. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -430596 (base 11) in base 9?\nAnswer: -1258814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -81728, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-14) + 30\/42\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + -0.8. Let j = -53 - -49.08. Let g = j - 0.08. Which is the closest to n? (a) -1\/2 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**3 + 5*y. Let p(g) = -18*g**3 - 14*g. Determine 3*p(n) + 8*r(n).\nAnswer: -6*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 6*o - 1\/20*o**5 + 4*o**2 + 7\/12*o**4 - 7\/6*o**3 + 0. What is k(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + (-6 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i = -5*u + 143, -69*u + 65*u = -i + 2 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 3*c**2 - 2*c - 6. Let f be l(-2). Suppose f*i + 6*i = 2451960. Suppose 10*r - 5*d - i = 5*r, 1 = d. Round r to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 455 - 103*y + 457 - 912 in the form u*y + j and give u.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 8*b**2 - 10*b - 3. Let x(d) = d**2 - 10*d + 27. Let c be x(3). Let a be -1*(-1)\/(-3)*c - -2. Suppose 10*j - 15*j - 45 = a. What is k(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 <= 645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6688269139\/80 + 83604680. Let j = -10515\/8 + y. Calculate the common denominator of 21\/16 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/64 - (-4598)\/3124?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/15 - 2372*j**4\/15 - 16672*j**3\/15 - 35764*j**2\/15 - 6202*j\/3 - 9544\/15 = 0. What is j?\nAnswer: -4, -1, 1193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 8 - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3784 + 3788. Which is the third biggest value? (a) -0.4 (b) 0.0348 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*a - 52 + 52.\nAnswer: -42*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1188)*3 - sqrt(1188))\/(sqrt(11) + sqrt(44)\/(sqrt(12)\/sqrt(3))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.192.\nAnswer: 0.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**3\/9 + 340*a**2\/3 + 43688*a\/3 + 258064\/9 = 0?\nAnswer: -254, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = -7*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101792912.000276 - 101793535. Let s = -623 - z. Round s to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -243?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*1 - (-2)\/2. Let t(w) be the third derivative of w**4\/6 - w**3\/6 + 35*w**2 + 2. Let q be t(j). Let y(g) = g - 2. Determine y(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/110*40\/(-25).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 10*k - 0*k - 679974, 4*y = 5*k - 339977. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 471576 divided by 11228\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w + 45*w = 154. Let l(g) = -g**2 + g - 1. Let a(s) = 9*s**2 - 9*s + 8. Let o(h) = a(h) + 5*l(h). Calculate o(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89747190899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1672210 + 2511472 = 218*i - 1806304. Is i at least as big as 27478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {c: 4, m: 2, i: 3, p: 1, e: 1, u: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**3 + 256*f**2 - 1706*f + 37. What is v(18)?\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(32\/(-442)) - (-2)\/(-8). Let s = -377\/7 + k. Let -6\/7*c**2 + 8\/7 - s*c = 0. Calculate c.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.7 + -6.3. Let r = -24 - f. Which is the second biggest value? (a) 6\/5 (b) -14 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**4\/6 - 45*c. Let n(r) = 1. Let u(q) = -6*q + 9. Let s(y) = -9*n(y) + u(y). Calculate s(x(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 2*z - 4*k + 56, 0 = 4*z - 2*k - 56. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-101)\/(-6) - 2\/(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14054 - 28245. Let f = 170195\/12 + w. Find the common denominator of f and (-46)\/3*3\/(-20).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2189*z**3 + 3*z**2 - 5*z**2 - 4626*z**3 + 1597*z**3.\nAnswer: -5218*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4190+-20462305\nAnswer: -20458115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572000530.\nAnswer: 2, 5, 17, 31, 311, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -158*g + 2062. Let i be j(13). Solve 276 = -54*v + i*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174483 is divided by 656?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 732087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35306)\/52959)\/((-4)\/(-14)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*6*(-5)\/((-135)\/36). Solve -c = 9*a - 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13153480 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 6 + -2 - (9 + (-5 - 9)) - 56.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhecvckt. What is prob of sequence ch?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.3 and -41.\nAnswer: 586.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -33*y**2 + 3*y - 3. Let p(s) = -11217*s. Determine p(v(w)).\nAnswer: 370161*w**2 - 33651*w + 33651","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 11:00 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*q - 53, 5*q + 25 = 3*d - 120. What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -206, -602, -1304, -2396?\nAnswer: -3962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a6 - -4?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 81 = -8*q. Let u = q - 25. Solve -27 = -5*o + 3*s, -o + 4*s = u*o - 25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - w = -256 - 907, 0 = w + 4. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Suppose 2*b + q*r - 34 = -3*b, r + 12 = 3*b. Suppose 0 = l + 1 - b. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 19. Let w be (-152)\/(-5) - b\/15. Suppose 5*z - 15 = w. What is the smallest common multiple of 2 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -72*i**3 - 60*i**2 + 60. Let l(s) = s**3 + s**2 - 1. Give -60*l(b) - q(b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-2)*1\/(-2). Let r(i) be the third derivative of 7*i**4\/24 + 4*i**3\/3 - 9*i**2. What are the prime factors of r(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 13*u**2 - 1. Let c(t) = t + 1. Let o(r) = -6*r - 4. Let z(w) = -4*c(w) - o(w). Give a(z(q)).\nAnswer: 52*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 11:20 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000086420661 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 - -128.999854. Round m to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*a - 45, -a + 0*a = -5*k + 19. Let z(w) = -w**2 - 15*w - 10. Let i be z(a). Let v = -17 - -27. Solve i = 3*f + v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**3 + 3*h**2 - 2. Is 53 a factor of w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 7. Let z be 9\/((-4)\/(g + -2)). Determine d so that -6*d**3 + 6*d - 114 + 114 + z*d**2 = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-6))\/(21\/(-18)). Let u = -0.07 + -0.53. Let w = -0.5 - u. Which is bigger: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1369473 to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -686*b**3 + 2734*b + 2263. What is the first derivative of o(g) wrt g?\nAnswer: -4116*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 8*k = 10*k - 22*k - 555 for k.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) -0.4 (b) -3 (c) 5 (d) 5\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -110291, -220584, -330877, -441170, -551463, -661756?\n\"Answer: -110293*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z + 318 - 318 in the form c*z + b and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 b when four letters picked without replacement from {o: 5, b: 2, s: 13}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddcddix. Give prob of picking 1 c and 1 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368376 is divided by 73644.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -4*s + 4*t, -s + 5*t = -15344 + 15337 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 3 - (-6 - 305) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -695, -1394, -2095, -2798, -3503, -4210, -4919?\n\"Answer: -i**2 - 696*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250541610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 334, -0.2, 2\/23, 4, 3\/5 in ascending order.\nAnswer: -2\/3, -0.2, 2\/23, 3\/5, 4, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 + 4*f**2 + 3 - 3.\nAnswer: 7*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -72, -202, -332?\n\"Answer: -130*g + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 greater than 280818\/2983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Suppose -3*g - 4*d = 0, -g - 4*d + 4 = o*g. What is the remainder when 18 is divided by g + -3 - 18\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = -k, -4*k = 4*o - 6 + 2. Factor -1 + k*w - w - w**3 - 3*w**2 - 2*w.\nAnswer: -(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4838956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 30768110 to the nearest ten thousand.\nAnswer: 30770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g = -28 + 43 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -2*a**2 + 3 - a**2 + a**2. Let i(j) = j. Determine t(i(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (7 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-1*(sqrt(2) + sqrt(12)\/sqrt(6))).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 621 divided by -4.\nAnswer: -621\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42200, 84550, 127066, 169748, 212596, 255610, 298790?\nAnswer: 342136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001001 - -10?\nAnswer: -11000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r = -5*s + 10, r + 2 = s. Let h be 0\/2 - r\/17. Let l = 36 - 20. Solve h = f + 3*f - l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krjgjjgjzj. Give prob of picking 1 k and 1 r.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b3 (base 13) to base 4.\nAnswer: -30312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -caf (base 16) to base 12\nAnswer: -1a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 2) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -7, 4, 1 in increasing order.\nAnswer: -7, 1, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14556022451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 5*u - 48, 46*r = 2*u + 110 + 52. Let 8\/7*w**2 + 4\/7*w**r - 8\/7 - 4\/7*w = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 565, 4622, 15635, 37084, 72449?\n\"Answer: 580*p**3 - 2*p**2 + 3*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 7*c + 300. Let p be (72\/c)\/(3\/110). Let k = 36 - p. Calculate the highest common factor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418480977 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 9:25 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 27*h**2 - 2 - 1.\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 140 - 137. Let r = 10.88 - -0.12. Let l = r + -10.5. What is the nearest to 1 in -3, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3430 divided by -245?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 1. Let o = 1.1 + n. Let d = 10 + -5. What is the closest to 0.1 in d, o, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1773, -1775, -1777, -1779, -1781?\n\"Answer: -2*c - 1771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 90 = -3*u. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 5*l**2 - 142*l**3 - 10*l + 14*l - 7*l**2.\nAnswer: -142*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoa when three letters picked without replacement from eaooaaeoooee?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q**2 - 3*q + 2. Calculate x(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - b + 5)*(1 + 0 + 10).\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-26 - (-17 + -8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -718, -1447, -2186, -2941, -3718?\nAnswer: -4523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - -115. Let c(f) be the third derivative of -1\/4*f**4 - f**2 - 1\/60*f**5 + a + 1\/2*f**3 + 0*f. Calculate c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17895371 is divided by 1303.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -459 in descending order.\nAnswer: 4, -2, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4074887 >= -4074919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = -4*c - 3*x, -5*c - 6*x + 19439 = 19599 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -11410072\nAnswer: 9\/11410072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(448) + sqrt(448) + 2 - 3*(sqrt(448) + 0)) + 5 + -2 + -6*(sqrt(448) + 1) + -5 + -1)**2.\nAnswer: 672*sqrt(7) + 21988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/210 and -139\/12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -6 + 1\/24*y**4 + 0*y + 0*y**3 - 3\/2*y**2. Let a(v) be the second derivative of q(v). Let w(b) = -9*b**2. Determine w(a(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -3758.\nAnswer: 35\/3758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b - 50. Let w be v(16). Are 28 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 2:06 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -44.54. Let j = -0.14 + 0.08. Let l = j + q. What is the third biggest value in -4, l, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*-2*-4*-1*sqrt(1300)*-5 + 0)**2*-6.\nAnswer: -49920096 - 38400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -4, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2200475 - 15?\nAnswer: -2200512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*r - 11, 3*i - 4 + 3 = 5*r. Let v be -4 + -2 + -4*2\/(-4). Let z be (v\/(-80))\/(i\/(-15)). Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**3 + 2*k**2 - 1. Suppose -4*s + 2 = 2*l, 0 = -15*s + 19*s. Let r be q(l). Solve 1 - 6 = r*i + 3*p, 0 = -5*i - 5*p - 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1\/3 (c) 2\/19 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2001201 (base 3) to base 13\nAnswer: 8b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + (sqrt(76)*-2)**2)*3.\nAnswer: 12*sqrt(19) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 7) to base 6\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 1. Let r(t) = -12*t + 8. Let l(u) = 8*q(u) - r(u). Let f(p) = -18*p + 18*p + 2*p**2. What is l(f(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2566668*p - 4. Suppose 5*w - 2 = 23. Suppose -w*q - 15 = y, -2*y = 4*q + q + 15. Let r be f(q). What is r rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 32 - (-70 + -35 - -52).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3634029603 to the power of 1\/2, to the nearest integer?\nAnswer: 60283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)*(l**(-3)\/l*l)\/l*(l**(-1))**(1\/25))\/(l**(-2\/5)*l**(1\/2)*l\/l**(-3\/8)*l*l**(-1)) assuming l is positive.\nAnswer: l**(-2503\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38807 plus 7150?\nAnswer: 7150.38807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -2)\/((-5)\/((-150)\/9)). Solve 2*n + 3*n + m = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 1\/2, 5, -4\/9, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 173*r**2\/3 + 1441*r\/3 + 1267\/3.\nAnswer: -(r - 181)*(r + 1)*(r + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189899, -191470, -193041, -194612?\nAnswer: -196183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 41. Let l = x - -24. Suppose 3*k + 0 = 3. What is the third smallest value in -0.03, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 21 + -16 + 5 - -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 17511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 429*q - 214516. Give o(500).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from kzk?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 3:02 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(196) - sqrt(196) - sqrt(196))\/sqrt(4))\/(1*-2*sqrt(7)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3259 - -3392. Solve 45*n - w + 448 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 20 = 10*d. Let c(s) = 7*s + 16. Let w be c(d). Suppose -2*j + 3*r + w = -2*r, -2*j - r + 70 = 0. What is the highest common divisor of 34 and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 298 + -296. What is the second smallest value in 4, o, 5, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-3 - (-36)\/24).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/234*(-33)\/(-11).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1858 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -42554 (base 15) to base 3\nAnswer: -101200200121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/40 - (-123)\/15. Which is the closest to 0? (a) 4 (b) -1\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 189 - 860*o - 93.\nAnswer: -860*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/187 and 53\/959259?\nAnswer: 10551849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/10 and 12\/889381.\nAnswer: 8893810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -500 and -21.365319199.\nAnswer: -521.365319199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3.8, -75, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1650)\/132*2\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 22. Let n be t(-12). Suppose -2*h + g + 10 = 3*h, n*g = 5*h - 10. Is 23 a factor of h + (-2 + 7)*18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/13))**6*i**14\/i**(2\/45) assuming i is positive.\nAnswer: i**(12214\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120071, -239924, -359777, -479630, -599483, -719336?\nAnswer: -839189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32172 is divided by 325.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tdttdatdttettt?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 18*r + 69. Let o be s(-13). Suppose o*u - 822 + 182 = 4*g, 5*u = 2*g + 800. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**4\/12 + l**3\/6 - 3*l**2\/2 + 2. Let k(y) be the second derivative of u(y). What is the first derivative of k(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*2\/(-8) + 1. Suppose -23 = h*a - 9. Let f be (a + 9)*(-2)\/4. Let j(t) = 12*t - 1. Give j(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -12 - 6. Solve 4*l - 3*p - 6 = 0, -b*p + 2 + 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1676 + 1675.66624. Let u = y - -0.33. Round u to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5434102 is divided by 59.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13173661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3\/17 + 16*h**2\/17 + 18*h\/17 = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(30\/7))**10 assuming r is positive.\nAnswer: r**(-160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/11? (a) 5 (b) -5 (c) -0.1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/5 - (-558)\/27. Let o = -62\/3 + m. Let g = -36 + 35. Which is the closest to -1\/3? (a) g (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8781.\nAnswer: 3, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 + 4*r**2 - 16*r. Let t be c(-4). Suppose -10*x + 5595 + 4355 = t. Is x a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1, 4\/11, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232\/3 - -78. Let o = 4.6 + -11.9. Let d = 18.3 + o. Is z less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.042 + 0.008. Let d = i + 78.95. Let p = d - 79. What is the third smallest value in 0.5, -6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o = 200. Let r(c) = -2*c + 360. Let f be r(0). Calculate the greatest common factor of o and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182211612.\nAnswer: 2, 3, 11, 23, 60017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l + l**4)*(-2 - 1 + 1) - 37 + 37 + 5*l**3 + l**4.\nAnswer: -l**4 + 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2310\/28)\/(-11)*2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/4 - l**4 - 15*l**3\/4 + 9*l**2\/2.\nAnswer: l**2*(l - 6)*(l - 1)*(l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.44382 to one decimal place.\nAnswer: -53.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**2 - 434253*m - 434250 = 0.\nAnswer: -144750, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 + 486*w**2 - 1430*w - 222. Calculate j(159).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14688 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5005395 and 4004316.\nAnswer: 20021580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*(296\/(-16) - -19)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**5 + 425*r**4 - 430*r**3 = 0?\nAnswer: -86, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 g when three letters picked without replacement from {g: 3, d: 1, b: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 36. Suppose 5*k + j - 50 = -5*w, 4*w - 48 = -2*k. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24405 - 24378. Calculate the remainder when 6335 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 48606*t + 234. Let h be v(1). What is h rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/38875011 and -28\/677265.\nAnswer: 194375055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-7\/4)*w**(-1))\/(w**0\/w)**(-30))**(-42))**41 assuming w is positive.\nAnswer: w**(112791\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265 a factor of 4055707577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/78 + 2\/13. Solve -4*f + c*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256137161 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*g**2*i**2 + g**2*i - 2*g*i**2 - 2*g*i + 23*i wrt i.\nAnswer: 414*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137222830 rounded to the nearest one hundred thousand?\nAnswer: 137200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/6*(-6792)\/112. Let v = b + -81. Find the common denominator of 37\/(-3) - (0 - 1) and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 - 17 + 5*u**2 + 2.\nAnswer: -u**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 1411 = 21*b - 5*t, -4*b + 1881 = 7*t. Which is smaller: b or 477?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {u: 2, j: 3, k: 7, f: 7}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 71387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w - 9*w + 21*w - 5*w + 5357*w**2.\nAnswer: 5357*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/15))\/(l\/l**(-2\/45)) assuming l is positive.\nAnswer: l**(4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2. Let a(t) = -1083*t**2. Determine m(a(v)).\nAnswer: 2345778*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(2\/1 - 1). Let p be 3\/(3 + 0)*-1. Does 24 divide (g - p) + -1 + 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.407 - -0.607. Let p = 148 - 1038\/7. Which is the smallest value? (a) r (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.05, -6 in descending order.\nAnswer: -0.05, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 159\/530 - (-22181)\/287*14\/60?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:23 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 55 = -2*d. Let t be d\/(-20) + 1\/4. Suppose 0 = -a + i + 3, -5*i - 8 = -t*a - i. Solve z + 12 = a*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**5\/60 + 9*x**2\/2 - 25. Let g(f) be the second derivative of j(f). Let q(w) = 8*w - 2. Calculate g(q(h)).\nAnswer: 64*h**2 - 32*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4881916 or -4881912?\nAnswer: -4881912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-28)*8\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54526 and 1096.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfffhhfvfffff. What is prob of sequence vhhv?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 90 = 295. Let z be ((-12)\/(-21))\/((-135)\/r). Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1602222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29926, 29928, 29930?\n\"Answer: 2*r + 29924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6 - (-2)\/3. Let p = 9 - 7. Let j(q) = 1 + 4*q**2 - 3*q**2 - p*q - 1. What is j(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -1, -77.\nAnswer: -77, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -110, -120, -132?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 16, -1, 6 in increasing order.\nAnswer: -1, 5\/2, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 15*z**3 - 19*z**2 + 311*z - 108. Is 8 a factor of q(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1377123 and 9?\nAnswer: 4131369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -300*i + 200658 - 201558 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/15 - ((-55)\/25 + 2). Let t = q + -3. What is the third smallest value in t, -13, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409906, 3279298, 11067646, 26234428, 51239122?\nAnswer: 88541206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -57 (b) -1 (c) -4759\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + (sqrt(1377)*2 + -4)**2.\nAnswer: -135*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548*j - 545*j = 9. Find z, given that -8*z**5 - 49*z**j - 76*z**4 + 124*z**2 + 211*z - 127*z - 75*z**3 = 0.\nAnswer: -7, -3, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19773.05 kilograms to milligrams.\nAnswer: 19773050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1103 - 1076. What is the remainder when 73 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 - 2*s + 447. Let c(d) = -d**2. Calculate m(c(a)).\nAnswer: 3*a**4 + 2*a**2 + 447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g + 2*g)*(3 - 14 - 2*g + 12)*(0*g**2 + g**2 + g**2).\nAnswer: -8*g**4 + 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 1396 = 428. Calculate the highest common factor of o and 285.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2224526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/(-55) - (-34)\/10. Suppose -y*z + 529 = -1421. Round z to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 434, -4, -457, -5.\nAnswer: -457, -5, -4, -2, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13277370.3 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -40*-52*(-1)\/208?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 14. Let y(u) = -3 + u**2 + b*u - 7*u. What is y(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - -5*sqrt(77)*2))\/(sqrt(7) - (sqrt(343) - (sqrt(343)*1 - sqrt(343)))) - (5 + 1*(-1 + sqrt(176) - sqrt(176) - sqrt(176))).\nAnswer: -4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3 + (2 + 2 - 3)*(-1 + 2 + 0))*(2*u + 2*u + 4 - 7).\nAnswer: 12*u - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32704?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.07, -3, -2.8, 6\/47, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - 3.09. Let d = -3.3 - x. Put d, 4, 0.4 in increasing order.\nAnswer: d, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740533 is divided by 915?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (782\/(-187) + 4)\/(3\/(-11)). What is the fourth smallest value in m, 1\/3, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 0. Let d(p) = l - 2*p + 7*p + 4 - 4*p. Give d(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -1\/6*d**3 - 31 + 7\/144*d**4 - 19*d**2 - 1\/360*d**5 + 0*d. Let w(x) be the second derivative of i(x). Factor w(u).\nAnswer: -(u - 6)*(u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 37*r**2 - 26. Let p(q) = -2*q**2 + 1. Let t(n) = -p(n) - w(n). Let u(a) = -3*a**2 + 2. What is -2*t(h) + 25*u(h)?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96950845821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + ((sqrt(44) + sqrt(396)\/(sqrt(9)*1 + sqrt(9)))\/sqrt(4) - 4*((sqrt(11) - (sqrt(44) + sqrt(352)\/sqrt(8))) + sqrt(11)))**2)*5.\nAnswer: 19975\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-28)\/10)\/(8\/(-20)). Let g = 5 - q. Is g\/(2 + 0) + 6 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 31899 = -18*h. Suppose h = 10*u - 16437. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96*h**3 - 1052*h**2 - 916*h + 40.\nAnswer: -4*(h + 1)*(h + 10)*(24*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 34, 33, 30, 31, 42, 69?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15670 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 20, j - 3*q = -15 + 47. Calculate the remainder when j is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2637*x - 110414 = -5*c + 2634*x, 0 = c - x - 22094. Is c a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -37*d - 11. Let m be g(-3). Suppose 6*v = v + m. What is the least common multiple of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (195\/(-91))\/(30\/(-70))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -577 + 1?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 4*k + 4*k**2 + 0*k**2 to the form i*k + l*k**2 + m and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n - 56. Let f(v) = 13*v - 110. Let j(k) = -2*f(k) + 5*g(k). Let q be j(25). What is the remainder when 29 is divided by (2 + -1 + 2)*q\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479869.\nAnswer: 13, 36913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296329 and 51429?\nAnswer: 2449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffcffffffffccffcff. Give prob of picking 1 f and 1 c.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**2\/3 - 105580*c\/3 - 703600 = 0.\nAnswer: -52770, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1220, 1193, 1120, 977, 740, 385, -112, -775?\n\"Answer: -4*b**3 + b**2 - 2*b + 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -18. Suppose -64 = 4*s - 5*s. Calculate the highest common factor of s and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59496*w**2 + 0 - 59436*w**2 + 2 - 2*w - 2 in the form p*w**2 + b + k*w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*f - 36. What is the remainder when 50 + (-12)\/(-4) - 1 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4172?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 3782?\nAnswer: 26474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/15 or -9\/2?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {g: 3, z: 5, s: 2, h: 2}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4059 = 25*q - 2616. Let j(s) = -2*s**3 - 6*s**2 - 5*s + 2. Calculate the remainder when q is divided by j(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = -5*r, -3*r + 6 = 2*k. Suppose g - 1 = -k. Let a(d) = 6*d - 5. Let n(i) = -i - 2. Let p(b) = a(b) - 2*n(b). Determine p(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 257\/4? (a) 2 (b) -6 (c) 114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**44\/(f\/((f*f**(6\/7)\/f)\/f)*f*f*f*f**(2\/7)) assuming f is positive.\nAnswer: f**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8*t - 20 = 0. Let c(y) = y**2 - 5*y + 2. What is c(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 7 + (-38 - -16)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322433 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.04 (b) 1\/46 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.22 - -0.22064. Round s to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258613 + 0.15.\nAnswer: 258613.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76870 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 162*(-11)\/(-66)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -2*a + 0*a**4 + 0 + 1\/6*a**3 + 1\/24*a**5 + 0*a**2. Let s(f) be the second derivative of t(f). What is s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297) + sqrt(297) + 2*sqrt(297)*-3)\/(sqrt(132)\/sqrt(3)))\/(-1*(sqrt(900) + (sqrt(900)*-3 + sqrt(900))*1)).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 1. Let k(x) = -6*x + 8. Let p(m) = 6*c(m) - k(m). Let v(y) = -2*y**2 + 7*y + 2. Let s be v(0). Let r(u) = -6 + 0*u + 6 - s*u. Determine p(r(t)).\nAnswer: -24*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/6 (b) -23 (c) 1\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53116401 is divided by 446356?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 5387 and 0.144 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/349? (a) 1\/2 (b) 1\/6 (c) -0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 138 = 2*m. Suppose 4*v = -m + 231. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f. Let u(d) be the first derivative of 4*d**3\/3 - 18. Give u(i(j)).\nAnswer: 484*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + v + 2*v)*(0 + 0 - 2) - 2*v + 1 - 1 + 4*v - 4*v + v + (-1 + 3 - 8)*(2*v + 2*v - 7*v).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 - -1?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-19)\/60*2?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, h: 1, f: 1, x: 5, l: 2}. Give prob of sequence fl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006451 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-58*2)\/(-3 + 6\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 + 3*k**2 + 4*k - 3. Let b be z(6). Suppose 4*d - b = -5*m - 0*m, 4*m + 12 = 0. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((-45)\/3)\/3. Solve -4*b = -5*u - 22, b + 5 = u - g*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -478*t - 2418. Let p be s(-6). Solve 0 = -465*f + p*f + 60 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-109)\/(-436) + (-3)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*y - 22, -t - 2*y = -11 - 1. What is the tens digit of 123 - (20\/50 + t\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*k + 4*x, 4*k + 4 = -3*x - 5. Suppose k = -14*b + 20*b. What is the hundreds digit of 143\/(-2)*(-2)\/(1 + b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -20*k**2 + 101*k - 7. Let n be j(-5). Sort 2, 5, n, -3.\nAnswer: n, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 58 (c) -27\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51923623.\nAnswer: 53, 979691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*(1*(3*sqrt(66) - sqrt(66)))\/(sqrt(216) - sqrt(216)*3))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 11 + 9. Suppose 4*c = y + 7. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8464)\/(-48) - (-9)\/9. Is 2\/13 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*i + 4*i**2 - 23*i - 3*i**2 wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**2. Let z = -10 + 20. Let j(w) = -7*w - 6*w + z*w. Give p(j(v)).\nAnswer: 63*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2584, 5812, 9688, 14212, 19384?\nAnswer: 25204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 > 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 689310292328 and -0.3.\nAnswer: 689310292327.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -735007240 divided by -935\nAnswer: 786104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*x**3 + 24*x**3 + 23*x - 29*x**3 wrt x?\nAnswer: -180*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 0 + 8\/9*l**3 + 0*l**2 - 1\/36*l**4 - 103*l. Factor j(c).\nAnswer: -c*(c - 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 102.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-3*sqrt(88))\/(sqrt(648)*-1))**2 + sqrt(176)\/sqrt(16)*-1*-2.\nAnswer: 44\/9 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13567 - -13563. Let l(z) = z**2 - 2*z + 25. Let p(m) = -m**2 + 3*m - 26. Give u*l(j) - 3*p(j).\nAnswer: -j**2 - j - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -302, -4, 16, 4, 0, 5, 44 in ascending order.\nAnswer: -302, -4, 0, 4, 5, 16, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13))**(9\/2) assuming o is positive.\nAnswer: o**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(17) + 1 + (sqrt(170)\/(sqrt(40)\/sqrt(4)))**2.\nAnswer: sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v + 4*v + 4*v. Let c(a) be the first derivative of -a**3 - a**2 + a**2 + 2. Give c(i(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f + 3747 = 39*f - 5*g, -5*f - 3*g = -18707. What are the prime factors of f?\nAnswer: 2, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggbqfagbaqfdffgba. Give prob of sequence qaa.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-8)*-3*5\/((-5940)\/(-84))\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009445441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, -4.4, -0.1, -1\/3, 0.3 in ascending order.\nAnswer: -4.4, -1\/3, -0.1, 2\/23, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.26072 + 5.3. Let d = -0.038 + p. Round d to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/2)\/2 + -1. Suppose i - 7 = -3*k, 0 = -3*k - 4*i - c + 1. Suppose k*g = 8*g - 150. Calculate the greatest common factor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -26698*s - 80993. Determine f(-3).\nAnswer: -899","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67772249, 135544481, 203316711, 271088939, 338861165, 406633389, 474405611?\nAnswer: 542177831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-20)*20\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105737329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*m + 18, 5*m = -c - 3*c + 29. Let i = 83.7 - 81.7. Sort i, m, -0.006.\nAnswer: -0.006, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21991360 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.16 + 0.16. Let f = w + 13. What is the nearest to -5 in f, 5, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1324, -1497, -1778, -2221, -2880, -3809, -5062, -6693?\n\"Answer: -9*r**3 - 110*r - 1205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 5*u**4\/4 + 37*u**3\/6 - u**2\/2 + u - 32. What are the prime factors of z(4)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -2 (c) -2\/21 (d) 6\/5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/4 + 6693*m**3\/4 - 20061*m**2\/4 + 20055*m\/4 - 1671.\nAnswer: -3*(m - 2228)*(m - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*q - 13 = 0, -6 = -3*j - 2*q + 1. Solve -k + j = -0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) + 492\/18. Suppose -l + r = -0*l. Calculate the remainder when 52 is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 13. Suppose -h*s + 2773 - 106 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 12*z**2 + 12*z. Determine u(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1960 and 2940?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v - 2 = 0, -2*d + 5*v - 8 = 0. Suppose 12*j + 7 = -5. Put j, 2, d, 9 in increasing order.\nAnswer: j, d, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/12)\/((-7)\/8 - 3933\/(-1368)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 14 = -3*q, -220*q + r + 5 = -215*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -14*i**2\/9 + 1450*i\/3 = 0.\nAnswer: 0, 2175\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 + 18*v**2 - 55*v - 14. What is the remainder when 475 is divided by p(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 35*d**3 + d**2 + 3*d**3.\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 6 + 14)*(l + 0*l - 3*l) to q*l + d and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 87977163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 7:22 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((a\/a**(-2))\/a)))\/a)\/(a*a**(-5\/11)*a)*a\/(a\/(a**(1\/25)\/a))*a*a*(((a\/a**28)\/a*a)\/a)\/a*a assuming a is positive.\nAnswer: a**(-7564\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4264 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 125*w + 513 = -612, -4*w = 4*b + 36 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 516 + -530. Is 46 a factor of (-4436)\/o*(-210)\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 1313 + 1411 = 0 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3733510 and -119\/4072920.\nAnswer: 44802120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(-2*o + 0*o + o) + 3*o + 9*o + 6*o.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 25, 70*o - 31*o - 38*o - 49 = -6*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54696 and 7224?\nAnswer: 382872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bssbsbbbbsbsbb. What is prob of sequence bb?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g. Let k be z(1). Suppose x + 4*x + 10 = 0. Let v be (x\/k)\/((-1)\/(-3)). Which is the closest to v? (a) 2 (b) 1\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2736 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 + 88*o**2 - 1042*o + 1174. Determine l(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -28894, -1 in ascending order.\nAnswer: -28894, -1, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnpppnp. Give prob of picking 3 p.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 0 - 10*t + 11 + t - t**3 - 9*t**2 + 2*t. Let m be u(-8). Solve m*r + 5*p + 7 = -4, -2*p - 12 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769358?\nAnswer: 2, 3, 294893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -969*a**2 + a**3 + 1339574*a - 1339574*a in the form y*a**2 + w*a + b + l*a**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/(-830))\/(-9) + 1586332\/(-56606)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 250\/15*6. Suppose -s = 6*q - 1398. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 44. Solve 14 = 3*w - 2*s, 3*s - 17 = -o*w - 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7082 divided by -15.\nAnswer: -7082\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 629 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6190588 to the nearest ten thousand.\nAnswer: -6190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 170 - 166. Suppose x*g - 59 - 16 = 5*m, -3*m - g = 45. Is -16 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 255, 3, 47, -0.4, 0.4, -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5731 times 24\nAnswer: -137544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.84 - 29?\nAnswer: -147.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000430811 to 5 decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 134 + 76 = 0. Factor -16 - 44*r**2 + 18*r**4 + 40*r**2 - 28*r**3 + h*r - 2*r**5 - 5*r + 2.\nAnswer: -2*(r - 7)*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1648*3\/12*-2?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -2, 613, 2, 4 in ascending order.\nAnswer: -4, -2, 2, 4, 10, 613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6 + 15 = -x, 0 = -5*x - u - 27. Let o = x + 10. Let y be (-13)\/o - 3\/(-1). Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -103132*v**2. Let j(t) = 4*t. Calculate q(j(u)).\nAnswer: -1650112*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 + 13*n + 2. Let m be w(0). Solve j - 8 = -0*r + 3*r, m*j = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -716*b + 738*b = 374. Solve 5*i + b = 4*t - 0*t, i - t = -3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319724782 minus 5?\nAnswer: 319724777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -3\/7 (b) 1\/44 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 1:02 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/(-3*1\/1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o + 8. Let d be n(1). Solve 0 = -2*y + 4*c + d, -y - 3*c + 4*c + 5 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a = -151 + 283. Put 2, -9, a in descending order.\nAnswer: 2, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 509.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 546 + 14?\nAnswer: 55a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-26 - -20 - -11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55415 (base 8) in base 3?\nAnswer: 1011222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 0*q - 2*q + 4*q + 3 + 6. Let v be p(-4). Suppose -19 + v = -3*x. Solve -x = -3*n - 0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 540, 3184, 10374, 24384, 47488, 81960, 130074?\n\"Answer: 379*o**3 - o**2 - 6*o + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 12*b**2 - 13*b - 14. Calculate the smallest common multiple of 1 and o(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + i + 12. Let m be g(-2). Let l be 794\/8 + -3 - 2. Let u = l + -95. Which is the third smallest value? (a) u (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 16*r + 8. Let g be m(14). Let v(t) = t**3 - 6*t**2 + 3*t + 11. Let q be v(8). Let z = g - q. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -v - 3. Suppose -s = v*y + 4, 0*y + 10 = -3*s - 4*y. Calculate the least common multiple of 11\/(3\/(s + 8)) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/12810 and -9\/104920.\nAnswer: 2203320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210110901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 92 + 280. Suppose -q = 3*q - u. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.3 - 12. Sort -0.8, n, -3, -2\/7.\nAnswer: -3, -0.8, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 99 - 479 - 3*p - 84 as v + o*p and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 - -78.817. What is a rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/10 - (-4)\/10. Let j be ((-4)\/30)\/((-4)\/r). Is 1 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 46*y + 38. Let f(j) = 12*j + 9. What is -9*f(u) + 2*q(u)?\nAnswer: -16*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**3 - 3*s**2 + 6*s + 78. Let l(z) = -5*z**3 + 4*z**2 - 6*z - 79. Let h(i) = -5*l(i) - 6*u(i). What are the prime factors of h(10)?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -45. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2\/5, 3, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 9*h**2 + 9*h + 11. Let j be n(-8). Let c be ((-5)\/4)\/(j\/12). Sort -1, c, 1 in ascending order.\nAnswer: c, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x**3 - 127*x**2 + 27*x + 89. What are the prime factors of v(21)?\nAnswer: 41, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjji when four letters picked without replacement from {j: 4, i: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1175 - -1186. Calculate the lowest common multiple of k and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -379*t + 307*t - 255*t - 299*t to i + d*t and give d.\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -89, -134, -179, -224?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*b - 110 = -7*i, -5*b + 10 = 0. Solve 0 = i*y - 4*y - 96 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 993, 1989, 2987, 3987?\nAnswer: 4989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 227, 322, -3, -5, -1\/4, -1 in increasing order.\nAnswer: -5, -3, -1, -1\/4, 227, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 11*p + 12. Let s be f(10). Suppose -2*x = s*x - 12. Find the second derivative of -3*l - 3 - l**2 + x wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d**2 - 13*d + 24. Let r(t) = 15*t. Let n be r(-1). Let f be h(n). What are the prime factors of f\/27 + 10\/45?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-30)*(-62240)\/65352*11\/(-4)\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 168 - 148 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.03 (b) -0.8 (c) 1\/44 (d) 2 (e) -5 (f) 5 (g) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34673 - -73599. What is the ten thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/126*-1*6 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -409 + 120. Let g = w - -134. Let j = 155.0189 + g. Round j to 3 decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -397500 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -3 + 11 + -5 - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4, -j + 1059*q - 1054*q + 3374 = 0. List the prime factors of j.\nAnswer: 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, 64, 131, 244, 415, 656, 979?\n\"Answer: 2*z**3 + 5*z**2 + 4*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(30\/(-2))*1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.3. Suppose -31*u - 10*u - 41*u - 328 = 0. Let j = 56 - 65. Sort u, q, j in decreasing order.\nAnswer: q, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 6\/2617, -3\/4?\nAnswer: 6\/2617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*f + 23*f + 4*f**2)*(6*f**2 - f**2 + 20*f**2 - f) as j + b*f**4 + a*f**2 + o*f + t*f**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 1182*x**2 + 31181*x + 117. What is u(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 10 + 10. Let h(a) = 10*a + 8*a - a**2 - p*a - 5 + a. Is 7 a factor of h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -190, -8\/5, -3?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -42*y - 41*y + 86*y. Let t(c) = -47*c + 8. Let z(x) = -31*x + 5. Let q(l) = -5*t(l) + 8*z(l). What is n(q(h))?\nAnswer: -39*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 24\/28*28\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8211? (a) 3 (b) -1\/3 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11952 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 10. Let w be a(-9). Is (-4487)\/(-7)*(0 - w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*n + 19 = q, 0 = 2*n + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53336622.\nAnswer: 2, 3, 2753, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - q - 33, -197*o + 37*o - 5*q - 1434 = -6*q + 3*q for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -24*c**2 - c + 1. Let z be d(1). Let q = z - -9. What is the units digit of 184\/30 + 2\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3701015534?\nAnswer: 2, 479, 3863273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 154527496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l + 16. Let g be d(4). Suppose g = 3*x - y - 74, -2*x + 2*y = x - 79. What is the derivative of 2*b**4 - 13 + 8 - x*b**4 wrt b?\nAnswer: -84*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**2 + v - 2. Let b be c(-2). Let f be (3\/3 - b) + 1. Let z = f + -23. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 + -2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from govvg. What is prob of sequence vvog?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 + 0*j**5 + 2*j**5 + (4 - 4 - j + 3*j - 5*j + 0*j + (4*j - 2*j + 0*j)*(0 + 0 + 2) - j + 3*j + 0*j - 2*j - j + 2*j)*(2*j - j**4 - 2*j).\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 - 3*f**2 - 5*f + 2. Suppose 8*u = 1 + 15. Let v(s) be the first derivative of -s**4\/2 - 2*s**3\/3 - 2*s**2 + s + 1. Determine u*w(q) - 3*v(q).\nAnswer: 2*q**3 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 2. Let v be (-45)\/(-10) + l\/4. Suppose 2*t - 4*z = -2*t - 8, v*t - 1 = z. What is the nearest to t in 3, 1\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45057*z + 369 + 45040*z - 90145*z.\nAnswer: -48*z + 369","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2))**(-1\/3)*a**5\/(((a*a*a**(-1\/4)\/a)\/a)\/a) assuming a is positive.\nAnswer: a**(73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517652 (base 12) in base 7?\nAnswer: 51146126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 289902010.5 to the nearest 100000.\nAnswer: 289900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 + 4978*o\/7.\nAnswer: 2*o*(o + 2489)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -43. Let c be ((14\/(-3))\/((-4)\/s))\/1. Factor -32 - c*d**2 - 16*d - 3*d**2 + 4*d**2 + 4*d**2.\nAnswer: -2*(d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/3 - 1826327*p**2 + 10957953*p - 16436925 = 0. Calculate p.\nAnswer: 3, 5478975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -64435*c + 1 + 1 + 187398*c + 142036*c. Let h be w(2). What is h rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/2*1*6. Let d = -21 + b. Let l(h) = -h**3 - 6*h**2 + h - 8. Calculate the remainder when l(-7) is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5 + 2. Suppose x - 15 = 4*x. Let y be (x\/(-2))\/(u\/(-2)). What is the third biggest value in -1\/8, y, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53515 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 - 7*a**3 + 15*a**3 + 523*a.\nAnswer: 16*a**3 + 523*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -5. Suppose x + n = 5, -n - 11 + 15 = 0. Which is the closest to 0.1? (a) z (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*k - 95*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-92)\/(-20) - 6\/10. Suppose -2*v + 105 = 3*v + 2*c, c + 71 = k*v. Suppose 2*g = -b - 7 + 22, 2*b - 5*g = 39. Which is greater: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.024 + 0.054. Let x = b + 0.47. What is the nearest to -2\/3 in x, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 300*q**2 + 16*q - 32. Let t be y(2). Calculate the greatest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-202*q - 368*q - 251*q - 1615*q)*(0*q**2 + 0 - 2 - 2*q**2)*(-q + 4*q - 5*q) to the form g*q**4 + a*q**3 + u*q**2 + j*q + d and give u.\nAnswer: -9744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*p**2 - 33*p**2 - 97*p**2.\nAnswer: -166*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3724 and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.1 - 21. Let d(f) = f**3 - 3*f**2 - 3*f. Let w be d(3). Let o be (w\/(-30))\/((-8)\/(-80)). What is the nearest to u in -0.2, -2\/11, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009917 rounded to 7 decimal places?\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) 1\/3 (c) 8 (d) -3 (e) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjkv when four letters picked without replacement from {v: 7, q: 1, j: 2, k: 9, y: 1}?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -309.557 and 0.44.\nAnswer: -309.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 5*v**2 - 3. Let a be t(-5). Let c = -2 - a. Suppose g = -5 + c. Sort g, -2, -5 in descending order.\nAnswer: -2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z - 12. Let g be s(5). Suppose 4*l - 3*a - g = -0*a, 4 = 2*l - 4*a. What is the first derivative of 1521 + q**l + 26*q**3 - q**2 - 1546 wrt q?\nAnswer: 78*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - 3*q - 2*q)*(1 + 3 - 2)*(0*q + 13*q - 3*q) in the form l*q + h*q**2 + b and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (177\/531)\/(1\/9*16)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 679*(-7)\/539?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 2400*u**2 + 247356*u - 720360.\nAnswer: -4*(u - 87)*(u - 3)*(u + 690)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 14*t**2 + 15*t - 30. Let d be w(13). Let z = 2 - 7. Which is bigger: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*u + 48, 2*x - x - u - 29 = 0. What is the second derivative of m**3 + 11*m**4 - x*m**4 - m - m**3 wrt m?\nAnswer: -192*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -5*s**4\/3 + 5*s**3\/6 + s + 119. Suppose o(c) = 0. What is c?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**4\/12 + 2*f**3\/3 - 3*f**2\/2 + 9*f. Let g be 0 + (-1 - -7) - 2. Determine j(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u - 40 = 21*u - 44*u. Let n(v) = -10*v - 11. Give n(u).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 558 = -3*v + 2*i, -2*v + 3*i + 560 = 0. Let l = -163 + v. What are the prime factors of l?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v + 5. Let o(q) = -10*q + 7. What is -8*n(x) + 5*o(x)?\nAnswer: 6*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -114312, -457208, -1028700, -1828788, -2857472?\n\"Answer: -114298*u**2 - 2*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 905329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p**3 + p**2 - p + 1. Let a be z(2). Let h = 82343\/1365 + 4\/455. Let w = h + a. What is the nearest to -0.2 in 5, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1417 - -1.3417. Which is the nearest to 0? (a) -3 (b) v (c) 2\/15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 186927, 186870, 186827, 186804, 186807, 186842, 186915?\n\"Answer: g**3 + g**2 - 67*g + 186992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 10*c - 6 = 0. Let i be c + -1 + -1 + 2. What is the greatest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129089232*x**5 - x**2 - 87906831 wrt x.\nAnswer: -7745353920*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.193 + -0.223. What is the third smallest value in x, -3, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459 + 8*a - 7*a - 2022 - 3029.\nAnswer: a - 5510","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 964 = 2*o + o, 0 = -5*o + 20. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1452\/(-7820) + (-2880)\/(-244800).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15*((-126)\/(-10) - 1)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4396, -4393, -4390, -4387, -4384, -4381?\n\"Answer: 3*v - 4399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -347, -521, -695?\nAnswer: -869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 866856, 866897, 866922, 866925, 866900, 866841, 866742?\n\"Answer: -y**3 - 2*y**2 + 54*y + 866805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16831251 divided by -4\nAnswer: 16831251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j = 167*j + 1900 + 1610 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1133 or -19284\/17?\nAnswer: -1133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/9*(-24)\/8. Let m(b) = 20*b**3 + 7*b + 23. Let w(y) = 13*y**3 + 5*y + 15. Let k(u) = f*m(u) - 7*w(u). Find the first derivative of k(d) wrt d.\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 - 58. Suppose -p*j + 22 = -22. Let o = -4 - -6. Solve t = j - o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18 + 38\/9. Suppose c - 5*y - 51 = 0, -1 - 15 = d*y. Suppose 4*m - 3*m = c. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3247 - -3321. Calculate the remainder when 24197 is divided by x.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(2 - 2 - 4*n) + 8*n + 11*n - 3*n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35528856 - 2?\nAnswer: 35528854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = r - 15 - 29, w - 5*r = 14. Let y(p) = 5*p**3 - 4*p**2 + p + 3. Let x be y(2). Let m = -27 + x. Solve -b + w = m*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 40*h**2 + 79*h - 1563. Give t(41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5*93*(-34)\/510\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*o - 138*o + 254*o + 245*o in the form i*o + t and give i.\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6749 divided by 75\nAnswer: 6749\/75","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (462\/(-18) - -2)\/(3\/9). Suppose -6*w = w + 4*t + 12, 2*w - 12 = 4*t. Put -5, x, w in descending order.\nAnswer: w, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**6\/60 - l**4\/8 + 2*l**2 - l. Let y(i) be the first derivative of a(i). Find the second derivative of y(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346516287.\nAnswer: 4007, 336041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.468 + 2.485. Let q = f - 0.017. Suppose 0 = -6*u + 3*u + 15. Sort u, q, -2 in descending order.\nAnswer: u, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 26.08. Let y(l) = -3*l**2 + 2*l - 5. Let u be y(4). Let x = -46 - u. Which is the second biggest value? (a) -0.2 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -6*l + 9. Suppose -16 = 2*v - 4*v. Suppose 28 - v = m. Calculate the remainder when m is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c + 8965 = -25487. List the prime factors of c.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1513033\/56 - 27017. Find the common denominator of 111\/112 and l.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.03 (c) 0.5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12220 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-2)\/(-4) + 396\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnnnfnnf. Give prob of sequence nn.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0078736741 rounded to 6 dps?\nAnswer: -0.007874","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**2 + 0*v**2 + 17 - 21)*(3 - 5 + 0)*(8 - 2 - 1)*(0*v - 5*v + 4*v + (2 + 0 - 1)*(-1 + 2*v + 1)) in the form f + z*v + k*v**3 + u*v**2 and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 77*d + 806. What is s(-10)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 8*w**3 + w**2. Let h be y(1). Suppose -u + h = -1. What is the highest common factor of 6 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 6 - (336 - 341) - (-17 + 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28366, 56685, 85004, 113323?\nAnswer: 141642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222, -554, -1088, -1824?\nAnswer: -2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -361381, 16, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/3 + 567232*g + 1701692\/3.\nAnswer: 4*(g + 1)*(g + 425423)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 2*n**2 + 3 - 3 + 6*n to the form c*n**2 + s + q*n and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 592 + -587. Let c(h) = h**3 + 8*h**2 + h - 3. Calculate the remainder when c(s) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -18*(5 + 372\/(-72)). Suppose -2 + 8*y - 21\/2*y**2 - y**4 + 11\/2*y**u = 0. What is y?\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1912211 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 v when three letters picked without replacement from {v: 7, n: 6}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -12597.041228?\nAnswer: 12597.141228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029787 to 6 dps.\nAnswer: -0.000298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9635743 and 1676?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*x + 172 = -110*x. Let j = -81 + x. Solve 5*s - 23 = y, 1 = -5*y - j*s + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - (12 + -20) - -20.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 - (58519825\/(-28) - 6). Round m to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*i - 14, -4*z - 3*i = -6*i - 17. Let q be ((-15)\/6)\/(-5)*z. Solve 2*a = q - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-96))\/(40\/(-160))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:27 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 4*b + 6*b + 2*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4446*w + 12*w**2 - 4446*w + 4)*(2 - 4 - 11) to r*w**2 + s + u*w and give s.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15757 - -1?\nAnswer: 15758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(26\/(-3)) - (-32)\/(-21). Which is the closest to -1? (a) -1 (b) 1\/7 (c) m (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 2:14 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.64 (b) 0 (c) 21 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -25. Suppose -3*a + 10 = p, -5*p - a + 16 = -3*a. Suppose m + 12 = p*u. Sort -5, u, 2.\nAnswer: -5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-294)\/392)\/((2\/(-4))\/(192\/(-396)))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2360 - 1876 = -11*o for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-18) - ((-72)\/(-16) - 5)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 m, and 1 e when three letters picked without replacement from {e: 5, i: 1, z: 2, d: 1, m: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 - 3 - (4 + -10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 8. Let q be y(6). Suppose 2*o - 6*o + 22 = 5*a, 0 = -4*a + 2*o + 2. What is the remainder when (-40 + q)*(-1)\/a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -27. Sort 3, -5, i in descending order.\nAnswer: 3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -9032\/8161?\nAnswer: -9032\/8161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) - -4*(sqrt(336)*-1 - sqrt(336)))\/(sqrt(128) + sqrt(128)*1 - sqrt(128)))\/(4*(sqrt(6)*1*3 + sqrt(60)\/sqrt(160))).\nAnswer: -7*sqrt(7)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498 a factor of 1156587824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -29.71609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, k: 2, p: 3, v: 5}. What is prob of picking 1 p, 1 k, and 2 v?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 117\/((-3)\/(-12)*(2 - -2)). Suppose -13*u + 143 = -b. What is the least common multiple of u and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 8*q + 2. What is the lowest common multiple of b(-4) and ((-180)\/70)\/(10\/(-385))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201111 (base 3) to base 5\nAnswer: -4101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2792, -4, 5 in decreasing order.\nAnswer: 2792, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**3\/3 - 5*k**2\/2 - 3*k - 6. Let w be r(6). Find the third derivative of -22*f**w - 3*f**2 - 3*f**2 + f**2 + 13*f**3 wrt f.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 2*b**5 + 2*b**2 + (5*b - 5*b - 2*b)*(-2*b**4 + 0*b**4 + 0*b**4) - 4*b + 4*b - b**5 + b**5 - 3 + 3 + 386*b**3 + 230*b**5 - 386*b**3.\nAnswer: 236*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2 - i)*(-4 + i**2 + 2*i**2 - 6*i**2) to r*i + h*i**2 + g + o*i**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30b3 (base 15) to base 13.\nAnswer: -48ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 186, -1, 1\/6, -13 in descending order.\nAnswer: 186, 1\/6, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.1. Let v = 2.4 - 2. What is the nearest to b in v, -0.3, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2012 - 1032. Suppose 29*q = 25*q + y. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 599*b - 600*b - 5, -5*b + 5*h = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7032*q - 7268*q + 15340 = 0 for q.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 916*l**6 + 12*l**3 - 224934*l**2.\nAnswer: 109920*l**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165098 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123 + 126. Let l = 25 + -21. Which is the third biggest value? (a) l (b) z (c) 2\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0 (c) 1\/13 (d) -37 (e) -4\/7 (f) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/12 + (-330)\/(-198).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -152068\/551 and -277 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7044 is divided by 196.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -15*a + 70. Let s be q(4). Suppose 2*c = -s, c = -5*o - 4*c + 5. Solve n - o = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (1 + (4 - 7 - -5) - -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57760, 57752, 57738, 57718, 57692?\nAnswer: 57660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p + 71*p - 512541 = 0. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 - 2)*(f + 0*f + 2*f) - 4*f + f + 2*f)*(2*f - 2*f + f**2 + 0 + 0 - 5*f**2 + 5*f**2 + 5*f**2 - 6*f**2 + (5*f - f - 2*f)*(f - 2*f + 0*f)).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(675)\/sqrt(9) + (sqrt(432) + 2)**2.\nAnswer: 53*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 3, p: 2, e: 2}. What is prob of sequence qqpq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*y + 22, 2*x - 23 = -3*y - 9. Solve 5*m = 3*m + y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*4\/(-408)*(-16)\/12.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**3 + d**2 + 8*d - 2. Let o be q(4). Differentiate 73*b**2 - o - 19*b**2 + 382 wrt b.\nAnswer: 108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -687\/2 in 3, -2.5, -0.1?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-10))\/((-1)\/10)*2. Suppose 0 = -4*d + f*d - 16. Solve -30 = -5*a + 5*m, 2*a - d*a = m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/12*(-8)\/(-15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:04 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 + 112*u + 929. Determine p(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53748881821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -342 - -499. Let p = y - 157.5. Sort -2, -1, p.\nAnswer: -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/3*-3 + -2. Suppose -y*j = -i - 3*i - 138, 0 = -j - i + 78. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21630 divided by -5.\nAnswer: 4326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(80\/(-12)) + 210\/24\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13 + -0.53. Which is the third biggest value? (a) r (b) -0.08 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1997 divide 566918345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 54*h - 1350. Let t be a(25). Let m be (-340)\/2016 + 5\/30. Is t != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -248 (base 14) to base 15.\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 137 = 57. Let q = 66 - -29. Suppose 2*y + 85 = q. Solve -y*r + r - k = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 - 5*a**2 - 2*a + 3. Let x(z) = -z**3 - 2*z**2 - z + 1. Suppose 6*b + 5 = 5*b. Give b*x(u) + 2*m(u).\nAnswer: -u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t\/(t*t**4*t)*t)\/t)**(-3\/4))**28 assuming t is positive.\nAnswer: t**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 19*w**3\/6 - 7*w**2 + 2*w. What is the derivative of h(r) wrt r?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/6*(-3)\/2. Let i(w) = -2*w - 1. Let f be i(b). Suppose f*o - 4*y = -2*y + 30, 33 = 2*o + 3*y. Calculate the greatest common divisor of 108 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 43\/4 of a day?\nAnswer: 15480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 1\/2 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6473045 is divided by 45266.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 19 + 3*d + 23 - 11. Let w be t(-9). Let n(s) = -3*s**2 + s + 1. Let p(u) = 16*u**2 - 6*u - 6. What is w*p(j) + 22*n(j)?\nAnswer: -2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*3 - (14 - 7). Let d(a) = 2*a**2 - 23*a - 12. Let x be d(12). Suppose x = -4*c - 2*c + 24. Sort -2, t, c.\nAnswer: t, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.4 (b) -32\/3 (c) -0.5 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*b - 2*b - 11*b + 12*b**2)*(2 + 9 + 1)*(-7 + 3 + 2).\nAnswer: -288*b**2 + 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 1\/2*g**3 + 3\/16*g**4 - 78 + 0*g - 3*g**2. Suppose l(p) = 0. What is p?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 0, -11441, -3 in descending order.\nAnswer: 0, -3, -85, -11441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = 35*w - 230 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + 2 + -2 + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-9) - 29*119. Let z = 20791\/6 + x. Let m = -5\/674 - 18525\/1348. Find the common denominator of z and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/6 - 0)*(125 - 216 - -92).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**2*f**3*y - 6*a**2 - 5*a*f*y + 174*f**3*y - 11*f**2 wrt f.\nAnswer: 12*a**2*y + 1044*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.44874 - 1.2059. Let i = u - 0.24. What is i rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -74. Suppose -3*p + 12 = 0, 2*b - p = -b + 11. Factor -3*i**4 - 3*i**2 + i**3 - 10*i**3 + y*i**4 + 3*i**b + 6*i.\nAnswer: 3*i*(i - 1)**2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(11\/4)*y)\/(y*y\/(y**(-17)\/y)))\/((y**19*y)\/y**(-3\/25)) assuming y is positive.\nAnswer: y**(-3637\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -114, -389, -918, -1785?\nAnswer: -3074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v + 121 = 37 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*j - 37 = -2*z, 0 = -5*z - 2*j + 185. Suppose 6*m - 29 = z. Let n = -19 - -30. What is the greatest common factor of n and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - 20, 4*h + 439 = 3*g. Let q = h - -107. Let y(u) = 9*u**2 + u - 1. Let b be y(1). Solve 4*t - b = -q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**2 - 143*c + 143*c - 6*c**2 + 3*c**2 + c**2 + (12*c + 9*c - 18*c)*(2*c + 0*c - c) to the form z + t*c + w*c**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h**3 - 3*h**2 + h - 1. Let d(u) = 76*u**3 - 22*u**2 + 7*u - 7. Give 2*d(n) - 15*k(n).\nAnswer: -13*n**3 + n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d - 3*l - 139 = 0, -d - 11*l + 9*l - 11 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.6. Let i = 225426 + -225423. Let t = -4 + 4.14. Which is the second biggest value? (a) i (b) m (c) -2\/5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwww when four letters picked without replacement from {w: 12, m: 3}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 11*p**2 + 23*p + 9. Let s be o(-13). What is the greatest common divisor of 120 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*b**4 - b**2*r - 199*b + 16*r + 269 wrt b?\nAnswer: -24*b**3 - 2*b*r - 199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 11. Let q be (t\/5)\/((-1)\/5). Solve m - 2*i = 5*m + 18, -q*i = 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**4\/6 - k**3\/3 - k**2\/2 + 3*k. What are the prime factors of d(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + -2.13. Let j = k + 2.049. Let c = -5.451 - j. What is c rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 133, 308, 555, 874, 1265?\nAnswer: 1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4631843149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -64) + 15 - 19 - 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242076 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4 (b) -1\/11 (c) 13 (d) -1 (e) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 65128 = -p - 65083, -6*y + 2*p - 24 = -5*y for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, e: 1, y: 4}. Give prob of sequence yye.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157034 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 12:54 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 842803021 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2\/5, -3, -5, -274 in decreasing order.\nAnswer: 2\/3, 2\/5, -3, -5, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -391*a**3 - 9*a**2 - 35*a - 91. What is the ten thousands digit of u(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002942711 rounded to 6 dps?\nAnswer: -0.002943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38835843 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 774681 to the power of 1\/2, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 - u - 2. Let c be 2*(45\/6)\/(-5). Let p = c + 5. Let o be h(p). What is the greatest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39064, -156283, -351656, -625183?\nAnswer: -976864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.058? (a) 3 (b) 2\/55 (c) 57.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 111, 104, 95?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-14)*k)\/(k*k\/(k**(-2\/3)\/k*k*k))*(k**(-2\/5))**(4\/21) assuming k is positive.\nAnswer: k**(-516\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*k = -7275780 - 8908601. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 - 68443*l\/2.\nAnswer: l*(l - 68443)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a - 6. Let o be b(-6). Let y(r) = 11*r + 10*r**3 + 7*r**2 - 6 - 9 - 11*r**3. Let t be y(8). Calculate the highest common divisor of o and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 - 57. Solve 0 = -5*t + 5*k - q, k - 6*k = -25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9946 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqiiiqqvqii. What is prob of sequence vq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k**3 + 4*k**2 - 7. Let x be ((-22)\/(-4))\/((-3)\/(-6)). Let v(m) = -5*m**3 - 2*m**2 + 4. Calculate x*v(p) + 6*n(p).\nAnswer: -p**3 + 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((0 + -2)\/2)\/(1\/(-3)). Find the third derivative of 6*o**2 + 4*o**3 - 45*o**2 - 4*o**t + 6*o**6 wrt o.\nAnswer: 720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(15)*2)\/sqrt(5).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**3*h - 9*f**3*x - 2*f*h*x - 43*f*h + 3*f*x - 13*h - 80 wrt h.\nAnswer: -f**3 - 2*f*x - 43*f - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 60.2, 69, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:41 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*s = -278 + 9, -3*s = 3. Calculate the greatest common factor of 9 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**3\/2 + r**2\/2 + 14*r. Suppose -5*c + 4 + 6 = 0. Determine t(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -81836*r + 818381. Determine l(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*z + 4488 - 1084. What is z rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10 and -5095546444.\nAnswer: -5095546454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((8\/(-10))\/(-4))\/((-260)\/(-100)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221926583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13165, 26333, 39501?\nAnswer: 52669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3702 + -1675. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-8)*((-1408)\/240 - 28\/210).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3902 - 3915. Which is greater: z or -15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 3:04 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-4 + (0 - -2 - 0))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/12 - (-3)\/18. Suppose -5*v = -2*z - x*v + 12127, 2*z - 2*v - 12132 = 0. Suppose b = -0*b - 4*m + 1205, 2*m = -5*b + z. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -8*y - 9. Let g be 18*(6\/21)\/(y\/7). Suppose 0 = -2*a - 0*a + 216. What is the highest common divisor of g and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -149*d + 19517. Give j(131).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100 + 42461441?\nAnswer: 42461541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f - 5. Let q = -111 - -107. Calculate w(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 72943*t - 291783. What is n(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 11*x + 18. What is w(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-4 - -1)\/18. Let g(j) = j**2 + 4*j - 5. Let o be g(-5). Let w be -2*(o - 2\/10). Which is the closest to p? (a) w (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(-2 + 4 + 4)*(3 - 3 + x**4).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -296*o**2 - 20*o + 2. Let n(c) = 295*c**2 + 18*c - 2. Let k(g) = -5*n(g) - 4*x(g). Find the second derivative of k(m) wrt m.\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.84, 3, -2, -0.1, -1\/37?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2658 and 2712489?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 - 15*z\/2 + 4532.\nAnswer: -(z - 88)*(z + 103)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(1 + -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-2 - -8) + -3 + -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/4 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Suppose 2*h - 2 = -3*z, 2*z - 1 = -h - s*z. Let v = 102 - 102. Which is the closest to h? (a) 5 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -6 + 26. Solve -h*c + 2 = -2*c, 0 = 3*i + 3*c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.88 + 1.01. What is the second smallest value in y, 0.5, -3\/10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 39*q - 22. Let v be t(1). Solve 25 = -2*g + v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**3 + 14*d**4 + 3*d**3)*(-65 + 156 - 65) to n*d**4 + o + f*d**3 + h*d + g*d**2 and give n.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48525 divided by -9.\nAnswer: 16175\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 2*l**2 + 7*l + 3. Determine o(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0 + 0*z**5 + 0*z**4 + 1\/5*z**6 - 5\/2*z**2 + 0*z**3 - 3*z. What is the derivative of t(u) wrt u?\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 4:34 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 24*k + 602. Let u be r(-24). Solve -u*w + 5*w = -63 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {u: 2, j: 1, g: 1, q: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 10 = -2*i, 0*i + 5*i + 50 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29944, -61131, -92312, -123487, -154656, -185819, -216976?\nAnswer: -248127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a factor of 3247959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 573414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 158, 288, 418, 548, 678?\n\"Answer: 130*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 9:35 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 44. Suppose 0 = 11*j - 8*j + 66. Let o = 19 + j. Which is the smallest value? (a) o (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.24086ml in litres?\nAnswer: 0.06124086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -163129 - -163124. Let s = -3 + 4. What is the nearest to s in b, 1, -0.3, 0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 7:00 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45540, 91074, 136598, 182106, 227592?\n\"Answer: -h**3 + h**2 + 45538*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -7*x**5\/60 - 7*x**4\/24 - x**2 + 8. Find the second derivative of d(g) wrt g.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19972579 or -179753216\/9?\nAnswer: -179753216\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5*(-10)\/75)\/(2\/(-3)). What is the closest to k in 0, 0.23, -0.1?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1 + 6*g - 9 - g**2 - 6*g**2 + 2 - g**3. Let j be t(-8). What is the remainder when 68 is divided by -92*(22\/j - 3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/4*97331\/39)\/((-7)\/28).\nAnswer: 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1160489592 rounded to 5 dps?\nAnswer: 0.11605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, b: 2, v: 2, h: 2, d: 4}. What is prob of picking 1 h, 1 b, and 1 l?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -10 (b) -0.5 (c) -5 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/68)\/(1\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -752a2 + 10?\nAnswer: -75292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 19974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/(-28))\/((-2)\/(-35)). Suppose -4*k - 90 = -x*k. Solve -15*u + 10*u = k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 340, 681, 1022, 1363, 1704?\n\"Answer: 341*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**4\/2 - 1797*h**3\/2 + 134097*h**2 + 136800*h - 270000 = 0.\nAnswer: -2, 1, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 - 69. Let l = r - -11031. Suppose 4*x - 3*n = -44406, 2*x = x + 3*n - l. Round x to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 9*d**2 - 2*d + 21. Let k be u(9). Solve a + k*h - 4 = -24, a = 3*h + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/364 and -45\/22.\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 423 - 207 - 216.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4479\/5128 - 1\/641. Which is the closest to 0.13? (a) -4\/7 (b) 1 (c) -2\/19 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9638116 micrograms in nanograms?\nAnswer: 963.8116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97606 + 31856. Let v(u) = -u + 3*u - 129455*u**2 + j*u**2 + 1. Calculate v(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 16 (b) -5 (c) -1\/11 (d) -0.12 (e) -3 (f) -0.3 (g) 14492\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 11:59 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x + 40 = 0. Suppose -5*t + 2*y - 122 = 4*y, 92 = -4*t - 3*y. Let a = 34 + t. Is a greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 1cd?\nAnswer: -1d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4813*x + 4813*x + 15*x**3 - 2*x**2 + (-1 + 1 - x**3)*(-1 + 0 + 2).\nAnswer: 14*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Suppose -w*q + 6 = 124. Let b = -39 - q. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1001, 1494, 2863, 5546, 9981, 16606, 25859?\n\"Answer: 73*y**3 - 18*y + 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 161 (base 10) to base 2\nAnswer: 10100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -174, -355, -536, -717, -898?\n\"Answer: -181*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from rlrxxpululua.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(832) - (0 + sqrt(832)))**2 + ((sqrt(832) + 1)*4)**2.\nAnswer: 256*sqrt(13) + 13329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5 + 4 + 15605*p.\nAnswer: 15605*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 2\/8*7. Let u = -176\/41 + 962\/205. Put -0.03, x, u, -1\/10 in decreasing order.\nAnswer: u, x, -0.03, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 601 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -140 and 337580.\nAnswer: 337440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 152070 - -0.24?\nAnswer: 152070.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 11, -2\/13?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:37 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 470541?\nAnswer: -470535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4*z + 28, 47*q - 52*q + 3 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128\/7*a - 34\/7*a**2 + 2\/7*a**3 + 160\/7 = 0. Calculate a.\nAnswer: -4, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + h. Let o(x) = 16*x**2 + 15*x + 7. Give -o(w) - 7*q(w).\nAnswer: -2*w**2 - 22*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 2 + 3)*(4 - 2 + 0) + (-4 + 3 + 2)*(85 + 430 + 240))*(5*b + 0*b - 2*b + (0 - 5 + 3)*(2*b + 0*b - 3*b)) to the form v + p*b and give p.\nAnswer: 3795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5896 minus 0.04?\nAnswer: -5.6296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -324, -0.2, -2?\nAnswer: -324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-2 - 7 - -3). Suppose 3*u + 0*m + 1 = -m, 4 = -s*m. Let z = u - -103. List the prime factors of z.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 95 = -11. Let t = -38 - w. Let n(x) = x**2 - x - 3. Calculate n(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539552?\nAnswer: 2, 13, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/4 + 96024*f**3.\nAnswer: 3*f**3*(f + 128032)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23\/2 + -13. Let k = -16 - -81\/5. What is the second smallest value in a, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 105*l**2 + l. Determine t(-1).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 2*z - 4*z + 0*z + 3 + z**2. Let c be i(2). Is (c\/(-2))\/(7\/1078) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puuekeuuuueue. Give prob of sequence pu.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 7358?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, -0.04683, -1, -1\/13, -0.2?\nAnswer: -0.04683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122199*-104.\nAnswer: -12708696","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 786149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 459920 and 160972?\nAnswer: 3219440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23466 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 4*sqrt(76))*1.\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 855, 815, 749, 645, 491, 275?\n\"Answer: -2*u**3 - u**2 - 23*u + 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 2\/8) + (-7868)\/(-112). Let v be 6\/g + (-3)\/(-30)*2. Let n = -50 + 49.5. Which is the nearest to -0.1? (a) v (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16173 = -58*h - 16*h - 3297. What is the lowest common multiple of 145 and h?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103355 (base 10) to base 15\nAnswer: 20955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:37 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/11))\/((p**(-1\/13)\/p)\/p)*(p*p\/p**(5\/3))\/(p*p*p**(-8\/3)) assuming p is positive.\nAnswer: p**(544\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1536612116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 4. Let r be k(-5). Let t be 32\/(-18) - (-6)\/(-27). Let o be (t + 2 + r)*3. Which is the second smallest value? (a) -1 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 108. Let r be f(32). Let m be 47\/r + (-201)\/268. Solve 0 + 4\/5*g + 4\/5*g**3 + m*g**2 = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1293 by -3.\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 739436, 739433, 739420, 739391, 739340, 739261?\n\"Answer: -s**3 + s**2 + s + 739435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -4\/3, 1, -9.63?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**6\/120 - m**5\/60 + m**4\/24 - m**3\/3 + m**2. Let j(d) = -3*d**3 - 4*d**2 + 3*d - 7. Determine 7*i(x) - 2*j(x).\nAnswer: -x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h + 36 = 32*h. Let d be 1\/3*4*1611\/h. Suppose 5*m + 2*p = d, -2*p + 2 = -2. What is the greatest common factor of m and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-18) + -5*174\/(-270). Suppose -d = -4*d - t*c + 242400, -2*c = d - 80805. Let k = 54795 - d. What is k rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-3 + 9 + 4 + 9) - (5 + 5)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(3 + sqrt(27) + sqrt(81)\/sqrt(3))**2 + 1).\nAnswer: 72*sqrt(3) + 232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 3. Let o be k(0). Suppose 0 = -4*u - 4*w + 152, 114 = -o*u + 6*u + 5*w. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiiyiyyiyyy. Give prob of sequence iq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-33 - -3)) + 1050 + -1172.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(99))\/sqrt(3))\/(sqrt(11) + 1*sqrt(22)\/sqrt(2)).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1038107015 and 863.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2. Let p(z) = z - 7. Let h be p(7). Suppose h = w - 58 + 23. Let l(f) = 35*f - w*f + 7*f**2. Calculate l(r(m)).\nAnswer: 63*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10800 = 66*l + 7434 for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 304.767 - 306. Let s = w - 0.127. Is 1 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -55*d**2 - 5587*d - 16765. Calculate a(-3).\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/15, -5, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90633 - -90625. Let o(n) = -n + 6. Let w be o(5). Put h, w, -2 in ascending order.\nAnswer: h, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 + 0.3. Let v = z - -2.5. What is the biggest value in v, 0, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-619*u**3 + 1512 - 1512)*(-3 + u + 3)*(u + 0*u - 2*u).\nAnswer: 619*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5\/23 + 18*f**4\/23 - 20*f**3\/23.\nAnswer: 2*f**3*(f - 1)*(f + 10)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 15, v: 3}. What is prob of picking 2 v?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331580, -331560, -331532, -331490, -331428, -331340?\nAnswer: -331220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1))**(-6\/13)*(r**1*r)**(1\/3))**(-24) assuming r is positive.\nAnswer: r**(80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*q + 3*d, 0 = 2*q - 6*q - d + 21. Suppose q*a = -2*r + 56, -12 = -6*a + 3*a. Calculate the highest common divisor of 126 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 16.9. Let b = 0.1 + -0.1. Let x = f - b. What is the smallest value in 3, x, 4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2812*f**2 - 5710*f**2 + 2900*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 9. Let c(p) = 3. Let m(a) = -3*b(a) - 8*c(a). Let z(i) = -2*i**2. Give z(m(k)).\nAnswer: -18*k**2 + 36*k - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 12*i**2 - 17*i + 120. Calculate x(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/7468 and -91\/100?\nAnswer: 186700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (224\/24)\/(4\/18). Let g = s - 24. What is the smallest common multiple of g and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + t = 28, -p + 4*p + 4*t - 80 = 0. Calculate the highest common divisor of p and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10305.86598 - -10306. What is y rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 0 - 5 - z - 2*z. Calculate h(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - 6 - 1*-1. Let i be 1*(-1 - z)\/2. Is (i - -2)\/((-5)\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684*f + 9 = 3*r + 686*f, 0 = -9*r - f - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*f - 2*d - 5, 0 = -3*f - 5*d - 19. Suppose -4*u + f*z + 62 = 0, 5 = z + 4*z. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - ((118 - 19) + -51)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9\/8, -5, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 - 2173359*s\/2 - 5433385.\nAnswer: -(s + 5)*(s + 2173354)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348427 is divided by 4708.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - q + 5*q - 4*q + 3. Let g be w(4). Let n(o) be the third derivative of o**6\/120 + o**5\/10 + 5*o**4\/24 + 7*o**3\/6 + 2*o**2. Calculate n(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 1\/4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-27)\/30*110\/(-12) and 89\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5065858um in millimeters?\nAnswer: 0.0005065858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 3*i**2 - 3*i - 15. Calculate o(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -4*h - 4. Suppose 5*n + h*i - 19 = 0, -3*n - 4*i + 3 = -0*i. Let c = 22 - 11. Solve -n*v = -c + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4 - 35*p**3 - 67*p wrt p?\nAnswer: 12*p**2 - 210*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -362362056 divided by -27048\nAnswer: 13397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 3*g - 68. Calculate the smallest common multiple of r(-8) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*y - 3 + 3 as z + v*y and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11932365, -0.1, -1?\nAnswer: -11932365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 168914 to the power of 1\/2, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 2\/13, -4, 1\/2, -0.5, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.051 * -0.02\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5*-905255\nAnswer: 4526275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 164332039 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40451757 - -12?\nAnswer: -40451745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-858)\/(-585))\/(17\/(-255))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 204979027 + -204979077.9858898. Let d = b + -0.0198102. Let z = 51 + d. What is z rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -244721 > -244719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 13*y**2 + 17*y - 19. Let a be p(13). Solve a = 11*x + 147 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*d + 1104 + 516 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 29. Solve v*w - 8 = -23 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1000010001000101011010011?\nAnswer: 1000010001000101011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 7. Let z be v(-8). Is z at least 1\/373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6391 and 33?\nAnswer: 19173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 77. Suppose 461*m - 294 = 447*m. What is z(m)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 6*y - 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3069 and 495.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**2 + p. Determine u(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5841352591.\nAnswer: 11909, 490499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2364)\/(-12608)*(-16)\/(-3)*-110*4\/8.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 118?\nAnswer: 4602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81093118.\nAnswer: 2, 2591, 15649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190988, -190950, -190914, -190880, -190848?\nAnswer: -190818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let h(w) = -6 + 2 + b*w - w. What is the units digit of h(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = z - k, -z + 4*k - 9 = 5. Let x(c) = -c - 6. Let b be x(z). Suppose b = 4*d - 4. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901 + 3215 = 176*g + 2*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*f + u + 5, -5*u = -f - 5. Find the third derivative of 22*h**5 - 14*h**f - 17*h**2 - 21*h**5 wrt h.\nAnswer: -780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 6. Let k be ((-7)\/14)\/(f\/2). Let o be 3 - (-131)\/1*k. Round o to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 119*t. Let y(s) = -38*s**2 + s. Give y(x(p)).\nAnswer: -538118*p**2 + 119*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 0 + 0*h**2 - 1\/42*h**4 + 3*h + 0*h**3 + 1\/147*h**7 + 1\/105*h**6 - 1\/70*h**5. Factor u(x).\nAnswer: 2*x**2*(x - 1)*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 767*l**2. Let u(r) = 19*r + 3. Calculate u(d(w)).\nAnswer: 14573*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 22*y**2 + 131*y + 13. Let n(a) = -a. Give n(k(l)).\nAnswer: -22*l**2 - 131*l - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2030 - 544 = 2*k. Let o = k + -45. Suppose 2*n = -3*j + 4027, -3*n + o + 635 = j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g - 12*g + 10*g. Let h(v) = -9*v - 6. Let q(x) = -x - 1. Let o(n) = h(n) - 6*q(n). Determine o(u(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*k - 16, 4*k - 3*z + 22 = 9*k. Let y(a) = -k - 3 - 2*a - 1 - 3*a. Is 14 a factor of y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 331332?\nAnswer: -331333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(11\/5)*l**25\/l)\/(l**(-27)\/(l*l\/l**9)) assuming l is positive.\nAnswer: l**(231\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*u + 4*u + 8234 + 1517 = 0 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(4\/3)*d**(2\/21)*(d*(d\/(d**(-1\/5)*d))\/d)\/d**(1\/3)*d*(d**(-3\/2)*d)\/d*d**(-6)*((d\/d**(-2))\/d*d)\/(d*d**(-1)) assuming d is positive.\nAnswer: d**(-463\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 42, 59, 76, 93, 110?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315 - -317. Find the first derivative of t**3 + 52*t**2 - 20*t**3 - 97 - 93*t**j + 42*t**2 wrt t.\nAnswer: -57*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90864295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 2*r - 2*r)*(5 + 7 - 2) + (-2*r - 7*r + 2*r)*(2*r**2 + 2*r**2 - 3*r**2).\nAnswer: -27*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1674 and -83\/180?\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 34685 = 20675. Suppose -12*a - j = -20*a. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, -364, -1069, -2048, -3295, -4804, -6569, -8584?\nAnswer: -10843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z + 1. Let h(y) = y. What is -11*h(j) + 2*m(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g = 28*g + 4. Suppose 33 = -q + g*q. What is the remainder when q is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + -5 + 12 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + l**2 + l + 6. Let d be j(-2). Let r = d + -11. Suppose -b + 5961 = r*f + 2125, 3*b = 3. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19840 and 560.\nAnswer: 138880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 6*k - 64. Calculate y(-9).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 205, 435, 749, 1147, 1629?\nAnswer: 2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540*q - 542*q - 174 + 174.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**3\/3 + 5*b**2 + b + 3. Is 14 a factor of q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, a: 9}. What is prob of picking 3 s?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2714 - 32449\/12. What is the common denominator of 143\/1002 and l?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 5, 58*h - 4*m - 24 = 54*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6 + 7 - 15*o**4 + 3*o**4 wrt o?\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.964 in -5, 1, -307\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8844 or -8846?\nAnswer: -8846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17)\/(-4) + 11\/(-44). Suppose 5 = m*c - 3. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.033 * -954.7.\nAnswer: -31.5051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1)\/((z\/((z\/(z*z**(-22)))\/z))\/z) assuming z is positive.\nAnswer: z**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9455275ng?\nAnswer: 0.0000000000000009455275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(14\/(-3))*378\/(-81). What is the greatest common divisor of 805 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6772276 millennia in months?\nAnswer: 8126.7312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9799 - -9807. Solve 3*i = -y*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(11\/2))\/k))\/(k*k**25*k) assuming k is positive.\nAnswer: k**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 295 + -281. Which is smaller: 102\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 7:08 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 4*k + 47 = -u, 4*u + 4*k + 20 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -9) + (-12 - (21 + -6 - 25))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 9*j**2 - 12*j + 6. Let v be y(-10). Let c be (11\/(-2))\/((-3)\/192). Find the common denominator of v\/(-65) - c\/(-30) and -17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4479 is divided by ((-924)\/360 - (-1)\/6)*(-140)\/12?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4\/9, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 1\/4*w**4 + 2\/3*w**3 + 25 - w - 3\/2*w**2. Calculate j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*y - 33849 + 33947 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 28034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -27*i - 25. Let u be g(-10). Suppose -5*f - 192 = -6*l + 5*l, -f = 5. Let k = u - l. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1839, -3686, -5533?\n\"Answer: -1847*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*12\/17*41 + 7\/119\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-16) + (-2682)\/8. Let b = 558 + f. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -327 (base 10) in base 4?\nAnswer: -11013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 3. Let m be s(-5). Find the second derivative of 5*c**2 - c + c**m + c**2 + 4*c wrt c.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 8700 + 13446 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-278)\/(-2641))\/(11\/(-4807))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + f. Let z(d) = -d - 5. Determine k(n) - z(n).\nAnswer: n**2 + 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10}. What is prob of picking 3 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3, -1\/6, -89, 2, -8311?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8003\/29 - -276. Let g = -3894 - -5453.2. Let h = g + -1559. What is the biggest value in a, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**3 + 10*r**2 - 10*r + 3. Let l be h(-5). Let b be (24\/l)\/(1 - 39\/36). Put 2, 3, b, -2 in decreasing order.\nAnswer: b, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, c: 4, d: 2, z: 1, p: 5}. What is prob of sequence pcnz?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3. Let s(f) = -f + r*f**3 + f**3 - 7*f**2 + 0*f**3 + 9. List the prime factors of s(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -1, 0, -3936.\nAnswer: -3936, -1, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208410?\nAnswer: 2, 3, 5, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c - 1. Let f be d(1). Solve 5*t = -1 - f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65429030.\nAnswer: 2, 5, 41, 53, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) - 143\/44. Put -9, t, 2, 3 in ascending order.\nAnswer: -9, t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 0*n + p + 22, -p = -5*n + 38. Suppose -4 = -2*g, -2 = -2*i + 4*i - 3*g. What is the lowest common multiple of i and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + m**2 - m - 1. Let p be (-12)\/(-4) - (0 + 4). Let z be d(p). Let v(b) = -b - 2. What is v(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36982852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.01531170717 rounded to four decimal places?\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.175 - 0.875. What is the fourth smallest value in 0, -4, -5, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**6\/360 + l**5\/30 + 7*l**4\/24 - 2*l**3\/3 + 4*l**2. Let f(h) be the first derivative of t(h). Determine f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212001 (base 3) in base 2?\nAnswer: -1001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -179, -389, -763, -1319, -2075, -3049?\n\"Answer: -3*x**3 - 64*x**2 + 3*x - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.3. Let r = 300896 + -300891. What is the closest to 0.3 in m, -0.1, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4257657 (base 10) to base 11\nAnswer: -2448928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 8*c**2 - 4*c + 63. Let d be g(8). Which is greater: 28 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 96\/32*(-1)\/(-1 + 0). Let c be (-6 + 2)*2*-4. Suppose m*k = 5*w + c, -3*k - k + 5*w = -51. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6515*y**6 - 132*y**2 + y - 4 wrt y?\nAnswer: -781800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - 1*sqrt(171))\/sqrt(9) - (0 + sqrt(76))**2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) -0.04 (c) -2.52 (d) -5 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2 + 2)*(-3*k**2 - k**2 + k**2 + (2*k - 7*k + 2*k)*(2*k - 1 + 1) + k**2 + k**2 + 0*k**2).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.14, 2, 1\/3, 1, -1\/2, 3\/10?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 29 + -2 + 0\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -270, -632, -1116?\n\"Answer: -61*i**2 - 57*i + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 323 + -209. Let f = j - 79. Let k be 68 + (-7)\/(f\/15). Calculate the greatest common divisor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Suppose -2*c - 60 = -2*s, 60 = -s + y*s + 2*c. What is the remainder when s is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24302, 45, -2\/21 in decreasing order.\nAnswer: 45, -2\/21, -0.24302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 not equal to -0.0637855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -38, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 19*n + 6. Let l(s) = 3*s + 1. Let y(m) = -6*m - 2. Let x(r) = -14*l(r) - 6*y(r). Let h(d) = 4*a(d) + 14*x(d). What is the tens digit of h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1344 and 12999?\nAnswer: 831936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(12)\/sqrt(3)))\/(2*sqrt(12)\/sqrt(3) + sqrt(4)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 - 2809 = -7*n. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 2624?\nAnswer: 2618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2433250683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0436825371 rounded to five decimal places?\nAnswer: -0.04368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 509671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-20)*(-65)\/156.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 o when three letters picked without replacement from ooowoooowoftpowootoo?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - u + u**3 - 3 + 3.\nAnswer: u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 - (-81)\/4. Let x be (-24)\/(-14) - 2\/(-7). Calculate the common denominator of (-193)\/w + x\/5 and -59\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 811 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -29. Let z be (9\/(-6))\/((-1)\/2). Which is the biggest value? (a) z (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58760)\/(-3250) + 6\/(-75).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2237545.\nAnswer: 2\/2237545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 + -2.95. Let d = r + 3. Let l = -11776.1 + 11776. What is the nearest to d in l, 1, 12\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -72\/91?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-230 - -224)\/(50\/28 + 6\/(-21)). Put -0.5, j, 5, 1, 2 in increasing order.\nAnswer: j, -0.5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from {n: 5, v: 1, s: 2, k: 2, j: 8}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -103353*t + 516789. Calculate w(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4804, 9609, 14428, 19267, 24132, 29029, 33964, 38943?\nAnswer: 43972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10794 - 10836 = 3*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15695170.\nAnswer: 2, 5, 1569517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3305.\nAnswer: 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 640839, 1281679, 1922515, 2563347, 3204175, 3844999, 4485819?\nAnswer: 5126635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**3 - 139945*s + 798847 wrt s?\nAnswer: 3*s**2 - 139945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000078648 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*w - 154 = -88*w. Suppose 2*g - 5*t + t = 60, -4*g + 114 = -2*t. Let l = w + g. Solve -u = -k, 0*u - l = 2*u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1028, -4.054, 0 in descending order.\nAnswer: 0, -4.054, -1028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.3. Let c be (-3)\/((-504)\/834) + -5. Let y = c - 41\/420. What is the nearest to 1 in t, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213234 (base 5) to base 13\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 20 - 19)*(y - 3*y + 3*y).\nAnswer: -67*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00674388689 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.031 and -36459117.8051.\nAnswer: -36459117.8361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*8 - (-1730)\/(-9). Let k = l - -196. Let a(q) = q**2 - 5*q + 4. Let j be a(4). Is j smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwy when three letters picked without replacement from ywwwd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 36*u**2 - 83*u + 55. Let n = -119 + 84. Is f(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 254423 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1706*m**2 + 12*m**2 - 1667*m**2.\nAnswer: 51*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v + 6. Let a be y(1). Let h be (-98)\/(-35) + a\/10. Solve -w + 16 = h*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -938863743*u**2 - 1040799285 with respect to u.\nAnswer: -1877727486*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2213547, 2213543, 2213539?\nAnswer: 2213535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 829977, 829968, 829953, 829932?\n\"Answer: -3*r**2 + 829980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 2, 2\/7, -1\/5, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500716.\nAnswer: 2, 151, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1369.0625 to the nearest ten.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2. Let l(b) = -9*b**2. Let n(m) = -5*c(m) + 2*l(m). Let f(v) = -5*v. Calculate f(n(d)).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 24*q**2 - 12*q + 5. Let i(a) = 21*a**2 + 13*a - 4. Determine 5*i(g) + 4*n(g).\nAnswer: -4*g**3 + 9*g**2 + 17*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/455*(-240)\/64.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3507888 and 159216.\nAnswer: 5136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85174199 by 41407.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 26 = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0.2, 5, 6, -2 in descending order.\nAnswer: 10, 6, 5, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -22. Let d(s) = s + 16. Let w be d(v). Suppose -3*g - 4*z + 6 = 0, w*g = -g - 4*z + 8. Solve l = -g*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 179*s + 4593. Give l(-35).\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - t - 33 = 0, 4*t = -5*j - t - 45. Let i be ((-32)\/(-12))\/(j\/(-12)). Solve i*x = x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1024*c - 5 + 16 - 11 + 1024*c + 236*c**3.\nAnswer: 236*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 a when four letters picked without replacement from {a: 4, p: 2, h: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/23)*c**2)\/(c**(-2\/7)*c*c*c)**(-29))**(2\/33) assuming c is positive.\nAnswer: c**(8654\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 - 10*c - 500. What is q(-18)?\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - -146. Suppose -3*v + s = 7. Calculate the greatest common factor of v and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 4. Let l be a(-3). Let z = 4 - l. What is the remainder when 66 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -55508*r. Let p(c) = -15*c + 1. What is p(q(i))?\nAnswer: 832620*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 4. What is g(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 7*c + 15. Let q(i) = -i**2 - i - 1. Let y(s) = 4*q(s) + v(s). Let j(m) be the first derivative of y(m). Differentiate j(h) with respect to h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8649, 2, -5, 3 in ascending order.\nAnswer: -5, 2, 3, 8649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrvroz. What is prob of picking 2 v and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 44. Let l(w) = w**3 - w - 5. Let z(b) = b**3 - b - 6. Let n(d) = 5*l(d) - 4*z(d). Give n(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(168) - -5*sqrt(168)*5)\/sqrt(4))\/(-2*(sqrt(864) - sqrt(6)) + (sqrt(6) - (sqrt(24)\/sqrt(400) - sqrt(6)))))**2.\nAnswer: 7571200\/40401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j - 2. Let a be q(-3). Let r = -18 - a. Let g = 1 - r. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/8, -0.3, -0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5561726*r**3*v - 100*r + 1294*v - 1 wrt r.\nAnswer: -33370356*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -6569411.\nAnswer: 1313882.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwk when three letters picked without replacement from pqxyykppwpkqqkpqkwwp.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1155 + 1156. Solve -r - v = -3*c, 2*r - 4*c = -7 + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4346?\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 613332922 rounded to the nearest 10000?\nAnswer: 613330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/2318179 (b) -1\/2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -203*w + 385. Let p be a(-5). Calculate the greatest common divisor of 56 and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 498273, 498271, 498269, 498267?\nAnswer: 498265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -87879 and 74 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*w - 5*w - 4*a, -2*a = -2. Suppose -3*r = -32 + w. What is the highest common divisor of 99 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566226673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10733 by -369.\nAnswer: 10733\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 5*k**2 + 4*k + 1. Let o = 21 - 18. What is p(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4235.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 15 = 5*q + 2*f, -4*f + 3 = q. Let t = 5 - q. Suppose t*m = 16 + 6. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 988389079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 y when three letters picked without replacement from vypcwpv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*z - 307, 2*z = 676*j - 677*j + 157. Suppose -5*u + 24 = -3*u. Calculate the highest common factor of u and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o - o)*(19 - 5 + 3) - 4*o - 2*o + 4*o + 2*o - 2*o - 3*o - 11*o + 5*o + 2*o.\nAnswer: -60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 5, -50\/19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 40 = -7*s. Suppose -3*v = -s - 7. Suppose -24 = -5*f - 2*k, 0 = -v*f + 2*k - k + 33. Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-56)*-76)\/(18\/(-252)*-24)?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-21692315.\nAnswer: 173538520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (251 - 13 - 170*n + 172*n)*((-3 + 2 - 2)*(1 + 1 + 0) + 8 - 2 + 4)*(-2 + 1 - 1)*(-4 + 0 + 3).\nAnswer: 16*n + 1904","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 265299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8507 - -0.8444606. What is w rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 658 divided by 5.\nAnswer: 658\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1736834.\nAnswer: 2, 11, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20541*x**3 + 3637 - 1846 - 1791)*(0*x - 2*x + 0*x) to the form z*x**2 + w*x + d*x**3 + j*x**4 + m and give j.\nAnswer: -41082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 1. Let l be q(-6). Let p(t) = t**3 + 6*t**2 + 7*t + 16. Let o be p(l). Find the second derivative of o*z + 0*z - 9*z + z - 32*z**5 wrt z.\nAnswer: -640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -602.06 + 602. What is the second smallest value in u, -0.2, 0.5, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + z + 4*w, w = 3*z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -504 divided by 18\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1356*n**3*v - 2*n**2*q + 16*n - 2*q*v - 4*q - 80*v + 47 wrt n.\nAnswer: -4068*n**2*v - 4*n*q + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 558425 or 558655?\nAnswer: 558655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 219*h - 11 + 27.\nAnswer: 219*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/11)*v**(-5))\/(v\/v**(-2\/5)*v)**32 assuming v is positive.\nAnswer: v**(-4489\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.042, 4, -3\/4, 1 in descending order.\nAnswer: 4, 1, 0.042, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/142 and -53\/58.\nAnswer: 4118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000996348 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5080\/3 + -1661. Which is the second biggest value? (a) -3\/8 (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 2720.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 875*k - 14646. Determine r(17).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let k(z) = 3*z**3 - 12*z**2 + 2*z. Let a be (7 - 3) + -2 + -3. Let h(x) = a*k(x) - 2*y(x). Find the third derivative of h(t) wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2)*c*c)\/c)\/c*c**3)\/(c*c\/(c\/(c*(c**1*c*c)\/c))*c*c)**(1\/20) assuming c is positive.\nAnswer: c**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -9. Suppose v*f = f - 4. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-55)*528\/(-32)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1009706 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3421 and -419704524657.\nAnswer: -419704521236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 3:08 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 27*j**2 + 51*j + 19. Let a(s) = -s**3 + 26*s**2 + 52*s + 19. Let n(p) = 3*a(p) - 2*d(p). Is n(24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -34, 1.4, -2 in descending order.\nAnswer: 1.4, -1, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g + g + 0*g)*(-4 - 2 + 2) - 26*g + 81 - 81 + 0*g - 3 - 3*g + 5 + (-4 + 4 + 2*g)*(-1 + 1 + 2))*(-3*g - g + 5*g)*(-1 + 3 - 1).\nAnswer: -33*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 3 + (4 - (10 - (5 + 7))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -98. Let h = w - -43. Let a(q) be the first derivative of -q**2 - 22. Determine a(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011623 take away -764.0591?\nAnswer: 764.047477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 956\/5 - 192. Which is the nearest to 1? (a) p (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/8 + (-2 - (-28)\/8). Suppose 8*n - 3*n = a*s + 6, -8 = 4*s. Sort -2, n, -3, 4 in ascending order.\nAnswer: -3, -2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147 + 212. Suppose 2*n - p - 27 = -4*k, -k + n + 26 = 0. Suppose 2*l - 28 = k. Calculate the highest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 849641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2.3 (b) -1\/2 (c) 0.0701\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1384 + -1280. Calculate the lowest common multiple of 520 and l.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 j when three letters picked without replacement from dndadnddejdddzj?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 15, -33, -115, -243, -429?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (1 - -4))*1. Let g be 2 - (-3 - (x - 2)). What is the tens digit of (-1494)\/(-24) - g\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.5 + 41.52. What is the closest to -0.1 in -0.2, 2\/5, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2131*j + 9 = 2132*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -23\/8, -0.04, 4.3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*r - 502*r + 228*r.\nAnswer: 192*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*j = 4*j + 26, -3*x + 3*j = -6. Sort -7, -1, x in descending order.\nAnswer: -1, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*j - 11*j - 18*j - 13*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:14 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17548.892 times 3?\nAnswer: 52646.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9969534, 19939066, 29908598, 39878130?\nAnswer: 49847662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.0963709 rounded to 3 decimal places?\nAnswer: 130.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 153191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -14\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2773088*a**2. Let u(g) = -2*g. Give u(i(z)).\nAnswer: -5546176*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 7*b + 3. Give q(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b3b10 (base 13) to base 6.\nAnswer: 154325134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 4 = -2*l. Let f = l - -10. Solve -4*i + 4*v - 40 = -12, -2*i = 5*v - f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65.08 - 66. Let u = 1.12 + n. Let m = -1.2 - -1. What is the biggest value in 1\/4, u, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, d: 3, o: 8}. What is prob of picking 1 v and 2 d?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-31)\/(-10)*4 - (-10)\/(-25). Suppose -3*q - 6 = -r. Suppose l - 24 = 2*y + 3*y, -91 = -3*l - 4*y. Solve -5*m = -2*n - l, 7 = q*n + 2*n + 3*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 38*u + 9. Give q(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.77 (b) 22 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211404 (base 5) in base 2?\nAnswer: 1101111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 5*k + 6. Let s be n(5). Suppose s*w - 805 = w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43800*k**4*l**2*z + 2*k**3*l**3*z + 2*k**2*l**2*z + 1774*k**2*z - k**2 + 8*l**3 wrt k?\nAnswer: 1051200*k*l**2*z + 12*l**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -241013121201?\nAnswer: 241013121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-2*-6 - (sqrt(78) + sqrt(78)*-3*-6))\/(-5*sqrt(486)*-2*-1))**2.\nAnswer: 637\/8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8254797 and -1274209.\nAnswer: -9529006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + d - 308 = 0, 1540 = v + 4*v + d. Suppose -3*p = -7*p + v. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10084284 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 65*c**2 + 20*c - 260.\nAnswer: -5*(c - 13)*(c - 2)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + c - 12 = 0, -4*c = -18 + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + i, 0 = 3*b - 7*b + 2*i. Suppose b = -4*o - u + 116, -3*o = 4*u - 0*u - 100. Let s = o - 25. Calculate the remainder when 15 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s - 26\/3*s**2 - 47\/6*s**3 + 32\/3 - 2*s**4 - 1\/6*s**5.\nAnswer: -(s - 1)*(s + 1)*(s + 4)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1696695*b**3 - 1453481*b.\nAnswer: 10180170*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 5. Let h be l(0). Let y = 29 + -28.89. Let o = y - 4.11. Which is the third smallest value? (a) o (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a67176 (base 11) in base 12?\nAnswer: -3656496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 330288 and 63208866.\nAnswer: 505670928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 738574?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 w when three letters picked without replacement from {w: 4, z: 4, u: 12}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 + 2)*(23*y + 41*y + y) + 6*y - 12*y - 24*y to the form j + f*y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -1210841\/116504 + 264\/14563. Let n = -100640202421409\/46608496 - -295819692\/137. Let k = 57\/1933 - n. Find the common denominator of u and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 + b**2 + 3 + 15*b**3 + 2 to y*b + s*b**3 + w + f*b**2 and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3201956 is divided by 800476?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182.5716952 - 179.5717. Let f = 2.8 - -0.2. Let d = f - t. Round d to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876 a factor of 385300716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtgjtbttjjvwwwt. Give prob of picking 1 v, 1 w, 1 t, and 1 b.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Let n be d + 2 - 1 - -1. Let u(s) = -3*s - 9. Let z be u(-4). Solve 5 = -i - n*t, z*i + t = -0*t - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1471058 divided by -1.\nAnswer: -1471058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuzb when four letters picked without replacement from vuazbaaavufu.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from ylfznyfyflzyyzylff.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 3*x + 11*x)*(-3*x + x + x + (x + 0*x + x)*(4 - 2 - 4)) - 4*x - 4*x**2 + 4*x.\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.24 - 0.24. Let y = 148.9 + -149. Which is the closest to y? (a) 4 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450, 334, 220, 108, -2?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/171 and 86\/45.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*s = -4*o - 38, o + 4*s + 6 = 0. Which is greater: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.08 (b) 1 (c) -1\/3 (d) 0.0939 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2))\/((1260\/(-48))\/(-35)). Sort 8, m, 1 in increasing order.\nAnswer: m, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akkakakf. What is prob of sequence afk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 470 = 9*h. Let u = -53 + h. What is the remainder when (-9)\/u*280\/3 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248765 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 1. Let q(p) = p - 2. Let b(k) = 6*d(k) - 3*q(k). Suppose 2*r + r = -5*t + 1235, 5*r = 3*t + 2047. Let j(f) = -410 + 2*f + r. What is j(b(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 20*d - 2. Calculate k(-25).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 2. Let z be j(4). Suppose 5*r + z = 2*r. Let l = -1.5 + 1. Which is the second biggest value? (a) r (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 15 = 3*n, -721 = -3*n + 5*s - 722 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from zzqp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwtt when four letters picked without replacement from wqwqwtvwqwttw?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 6*m + 1. Let a be (6\/(-8))\/(2\/16). Let o be u(a). Differentiate z**3 - o + 0*z**3 + 2 wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 2*q + 5*q)*(0 + 0 - 1) + (3 - 5 + 1)*(-45*q - 34*q + 17*q) to w*q + d and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Suppose 2*c - 5 + 13 = -2*w, -5*w - 2*c - 17 = 0. Suppose -4*t - 58 = -74. Put f, w, t in increasing order.\nAnswer: w, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124108785793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/17 and 89\/54356.\nAnswer: 924052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 12 - 15 + 12)*(-4*m + 4*m - 5*m).\nAnswer: -15*m**2 - 45*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5020 is divided by 1481.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 22161825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18078*t**2 - 9055*t**2 + 17248 - 9156*t**2 - 17248.\nAnswer: -133*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - a**3 - 4*a**3 + (3*a**3 - 5*a**3 + 4*a**3)*(2 - 5 + 2) - a**3 + 3 - 3 + 2*a**3 + 0*a + 0*a + 198*a + 367*a**3 - 198*a + 1 - 1 + 3*a**3.\nAnswer: 368*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 y when four letters picked without replacement from {b: 3, y: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -908330400 divided by -2720.\nAnswer: 333945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 255753?\nAnswer: 255757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -9578, 9\/5, -3\/17 in ascending order.\nAnswer: -9578, -3\/17, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -8. Let c(i) = 2*i + q*i - 3*i. Let v(g) be the third derivative of g**4\/24 + 2*g**2. Determine v(c(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -316 + 378. Suppose -u + 2*b + j = 0, 2*u - 5*b = 5*u - 197. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7754 > 7751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. What is the greatest common factor of 16 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-84)\/(-8))*(759\/(-2))\/(-23).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1596, -3503, -5410, -7317, -9224, -11131?\n\"Answer: -1907*l + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrhlllr. What is prob of picking 1 r and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15082.\nAnswer: 2, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -507 + 518. Is 11 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.25 + -3.35. Which is the closest to i? (a) -2\/11 (b) -4 (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bee when three letters picked without replacement from {b: 2, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 3*c**2 + 5. Let j be m(-5). Calculate the greatest common factor of 165 and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 2*g. Let x(t) = -t + 2. Let r be x(5). Let m = -1721 - -1720. Which is the closest to g? (a) -2\/3 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(170)*2 + -4*(1*sqrt(170) - sqrt(170)))\/((sqrt(1440) + (sqrt(1440) - sqrt(1440)*-4))*2))**2.\nAnswer: -sqrt(17)\/18 + 20753\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102 - -282. Is 45 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 3 - (1 + -6). Is 2\/(-3) - (-226)\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*j + 24 = 4, 4*p + j = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 505535675 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.033 + -0.176. Let a = -57.443 - l. Round a to the nearest integer.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -22*k**2. Let m(g) be the second derivative of 2*g**3 + 13*g - 37. Give m(c(q)).\nAnswer: -264*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 232 = 4*j, 0 = 6*j - 5*j + s - 65. Let m = j - 36. Calculate the remainder when 46 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 33, 52, 79, 114, 157, 208?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 16404.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 383204, 1532864, 3448964, 6131504?\nAnswer: 9580484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16969 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/2 - 48999*d**3\/2 + 2404818721*d**2\/8 - 11994710205*d + 119849184050.\nAnswer: (d - 20)**2*(2*d - 48959)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.571476 to three decimal places.\nAnswer: -14.571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*g + 12*g, -2*j - 3*g = -6081. Calculate the remainder when j is divided by 1009.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -345492 or -345490?\nAnswer: -345492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 606 + -612. Let y(x) = -46*x + 7. What are the prime factors of y(h)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/36 - (0 + (-3818)\/9)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-3 + 4)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203\/12 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.1, 1\/3, 175, -0.2, 237 in ascending order.\nAnswer: -0.2, -0.1, 1\/3, 1\/2, 175, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 209\/3, 0 in increasing order.\nAnswer: 0, 0.06, 209\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6222, -12794, -20090, -28470, -38294, -49922?\nAnswer: -63714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**2 - 991*g - 990 = 0?\nAnswer: -990, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3 - 0.3. Which is the nearest to 10\/11? (a) g (b) -4 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 8*s**2 + 42*s - 250. Let k be w(7). Let n be -1 - 7 - (1 - 3). Put k, n, -4 in decreasing order.\nAnswer: -4, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let h(j) = 2*j**2 + 1. Determine -h(p) + 2*m(p).\nAnswer: -2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100336.4 litres in millilitres?\nAnswer: 100336400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7256552 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 + 14*b + 9. Let s(o) = -10*o**2 + 55*o + 35. Let n(a) = 15*c(a) - 4*s(a). Factor n(q).\nAnswer: -5*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Suppose 2*y - s = 3. What is the first derivative of h + 0*h + h + y wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -34*t - 1. Suppose 0*d - 48 = -4*d. Let f be 3\/(-2)*16\/d. Is m(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 42 (c) 9\/466 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaa when three letters picked without replacement from {q: 3, a: 12}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 10*c - 133. Let r be v(18). Solve -4*z + y + 8 = 0, -4*y + 1 = -5*z + r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2173583 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 24 = n - 2*p, -n - 2*p = -6. Let z be n\/(-18) + (-4 - 2870\/(-45)). Calculate the greatest common factor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/11, -1\/5, 0, -0.5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -506 - -792. What is the lowest common multiple of 220 and h?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4*p - 24 = 0, -5*s + 9*s + 5*p = -25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1450 = 2*g, -5*i - g = -2016 + 221. Calculate the greatest common factor of 40 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i = i + 67*i. Let x = 12370\/33 + -375. Is i smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 6:49 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*15\/210*((-44)\/6)\/(-11)*-2.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 35*o. Let f(c) = 7*c + 6. Let g(i) = i - 5. Let z(t) = 5*t - 22. Let l(d) = 9*g(d) - 2*z(d). Let x(m) = f(m) + 6*l(m). Determine x(s(w)).\nAnswer: 35*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8265)\/(-522)*92\/437?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-8))\/((-375)\/1000)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 11:03 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-2) - (4 + -22). Let t be l - 0*1\/7. Solve -t*b = -10*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 98\/(-14) - (-26 - -16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66497 - 4*j**2 + 3*j - 66486 - 5*j to the form n*j**2 + g*j + m and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccccycccyccycccl.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12353 + -2?\nAnswer: 12351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 3*s + 3*s**4 + (-4*s**2 - s + 19635 - 2*s - 19629 + (2*s + 2*s - 2*s)*(4*s + s - 4*s))*(s**2 + 2*s**2 - 2*s**2).\nAnswer: s**4 - 3*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6)**(-23) assuming v is positive.\nAnswer: v**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 - -10)\/((-2)\/(-4)). Suppose -x*y + 91 = 5*m - 3*y, 3*m - y - 53 = 0. Calculate the least common multiple of 4 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233847 by 1313.\nAnswer: -233847\/1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -10*c**3 - 7*c**2 - 7*c + 12. Let z(s) = 10*s**3 + 6*s**2 + 6*s - 10. Give 6*j(u) + 7*z(u).\nAnswer: 10*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30150 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10503 + 4?\nAnswer: 10507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3, -4\/5703, -0.4, 0.03, -2, 12?\nAnswer: -4\/5703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -1, 1\/6, 1, -17.8, -4?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 234431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*c**3 - 2*c**2 - 5*c**2 - c + 34*c**2 + 3*c**4 - 28*c**2 - c**4 as v*c + g*c**3 + p*c**2 + w*c**4 + f and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 577 + -573. Solve -5*f - 2*t = -14, -r*f + 1 = -5*t + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.011 - 1.011. Which is the third biggest value? (a) 71 (b) 4\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*2*-2)\/((sqrt(90)*2 - sqrt(90)) + sqrt(90)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from jjjojpbop?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 = 4*t + 3*v, 281*v - 222 = -2*t + 282*v. What is the highest common factor of t and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r + 5*r)*(94 + 128 + 6 - 9).\nAnswer: 438*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 - 23 + 40)*(2 - 3 + 0)*(-2 - 1 + 1)*(6*k**3 - 4*k**3 - 4*k**3) as u*k**2 + n + f*k + z*k**3 and give z.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (58 + 22 + 78)*(-8*z + 3*z - 4*z) in the form y*z + k and give y.\nAnswer: -1422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001010011011 + 1100?\nAnswer: 101001010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (546\/(-420))\/((-1)\/10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3802 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193983, 193981, 193969, 193941, 193891, 193813?\nAnswer: 193701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0 + 0*g**2 + 0*g**4 - 1\/90*g**5 + 2*g + 0*g**3. Factor z(b).\nAnswer: -2*b**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -5.7. Let o = -0.5 - p. Let i = 20.6 - 21. Put o, 1\/2, i in descending order.\nAnswer: 1\/2, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27043 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 0.2 (c) -0.9 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7071 (b) 1.9 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 5*w**2 + 4*w - 30. Let y be p(6). List the prime factors of 162\/(-5)*y\/(-18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44448716?\nAnswer: 2, 13, 197, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 a, and 1 q when three letters picked without replacement from sisisasqs.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -619, -611, -599, -583, -563, -539, -511?\n\"Answer: 2*n**2 + 2*n - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -151*o + 2253. Determine y(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 13) in base 3?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148*v - 30 + 44 - 50*v - 26 to the form n*v + m and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(135)\/sqrt(5) - sqrt(27))\/sqrt(3))\/(sqrt(1617)\/sqrt(11) - sqrt(3) - sqrt(3))*5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 4662?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/19))**(8\/3)*(d\/((d**16*d)\/d)*d)**(-6\/17) assuming d is positive.\nAnswer: d**(1732\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62\/5 + 677\/55. What is the nearest to 1 in -1, -0.4, o, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214405 divided by -42881?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3447081*k - 1874511 with respect to k.\nAnswer: 3447081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7*j**4 - 6\/7*j + 6\/7*j**5 - 12\/7*j**2 + 0 + 0*j**3.\nAnswer: 6*j*(j - 1)*(j + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7263a - -6?\nAnswer: -72634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 14 + 6. Suppose 42*c - 6 = 40*c. Suppose -2*i + 0*d = -c*d - 46, i = -k*d + 23. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 31*g**2 - 593*g - 12131. Give h(-22).\nAnswer: -3441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (408*r - 7 - 357*r + 5)*(0*r**2 + 3*r**2 - 7*r**2).\nAnswer: -204*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/(4\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6477056?\nAnswer: 2, 25301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 - 1) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18535866 divided by -1?\nAnswer: 18535866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 33. Let d = -2.425 + 0.325. Which is the biggest value? (a) r (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 4*f. Let s(v) = v**2 + 4*v. Let g(u) = -u**2 - u. Let t(r) = 2*g(r) + s(r). Give 2*p(h) - 5*t(h).\nAnswer: -h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**9\/7560 + h**7\/315 - 13*h**4\/24 + 7*h**2. Let i(v) be the second derivative of f(v). Factor i(n).\nAnswer: -2*n**2*(n - 2)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16621 is divided by 49.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.53 times 159\nAnswer: 84.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 25 - 2319297*n + 2319325*n.\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c - 2*c**2 + 5 + 6*c + 7 - 15*c = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1154 in 7, 0.4, -1, 0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 5*f + 2*f + (10*f + 3*f - 6*f)*(-2 + 0 + 8) + 1 - 1 - 2*f.\nAnswer: 38*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 - p. Let c be (6\/8)\/(1 - 126\/144). Let q(g) = -12*g**2 + 3*g. Give c*q(x) + 17*h(x).\nAnswer: -4*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302825319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2880 by -5.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -d + 589, 0 = 5*d + 4*i - i - 2941. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 229 = -5*c, -4*k = -2*c + 99 + 335. Let n = 121 + k. Calculate the least common multiple of 62 and n.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/55)\/((-16)\/(-20))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 350 = 5*z, z - 26 - 70 = 5*t. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129.\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2. Let k(g) be the second derivative of g**6\/180 + 5*g**3\/6 + 15*g. Let x(y) be the second derivative of k(y). What is x(r(d))?\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47)\/((-6251)\/2356)*35\/20.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*x + 3 - 7 = 0, -5*h - 26*x = -28*x - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p + 2344 + 152. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 2:44 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126393.023 - 126451. Let t = -58 - m. Let s = t - -0.0335. Round s to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 2*g**2 - 3*g**3 + (-2*g**2 - 4*g**2 + 5*g**2)*(-2*g - g + g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448842329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -4, -3, 5 in decreasing order.\nAnswer: 5, -3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2 - 12 = 2*f, 0 = -3*i + 2*f - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -110130321 (base 4) to base 13\nAnswer: -2c18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6203854 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 192, 0, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015782003 rounded to seven decimal places?\nAnswer: -0.0001578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + o - 23 = 0, 5 = 4*c + 3*o - 24. Let g = -3 + c. Let s(a) = -a**2 + 10 + a**2 - a**g. Calculate s(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 - 74*z\/3 + 68.\nAnswer: 2*(z - 34)*(z - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1280 and 20800?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -68 + 86 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 4*y - 0*y - 2*x, 3*x - 33 = -y. Suppose -2 + y = h. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let p = -1 - -7. Solve 3*f + i*f = -p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-12\/11)*t)\/t)\/t**(5\/2)*(t\/t**3)**(5\/3) assuming t is positive.\nAnswer: t**(-457\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6120\/(-2601)*595\/14\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48204416, 96408834, 144613252, 192817670, 241022088?\n\"Answer: 48204418*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -0.5, 0.08?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1)\/(33 + -18 + -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 4:27 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - p**2 - 3*p + 3. Let b be ((2\/(-10))\/1)\/(1\/(-5)). Determine m(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 13*l**2 + 7*l - 45. Let u be o(-12). Solve j = 3*d - d + 11, 0 = -5*d - u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 10*m = t - 25, 0 = -2*m + 28*t - 16 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 93 + 93. Let u(c) = 9*c. Let f(g) = 26*d(g) + 6*u(g). Let p(k) = 8*k. Determine f(p(l)).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/21876 and 53\/45?\nAnswer: 328140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 + 2*q. Let x be k(-2). Is x bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001110111110001010 + -1111?\nAnswer: -11001110111110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -23 + -45 - -12\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 3.1 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 330637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 382.7851 nanograms in milligrams?\nAnswer: 0.0003827851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/23256 and -49\/51.\nAnswer: 23256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + 43634333?\nAnswer: 43634351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/18020 and 67\/99110?\nAnswer: 198220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -77086?\nAnswer: 77086.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + m. Let y(k) be the third derivative of k**5\/2 - 11*k**4\/24 + 7*k**3\/6 - 32*k**2. Let j(c) = 6*u(c) + y(c). What is the units digit of j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1000 - 30312?\nAnswer: -31312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, 3\/11, 2, 0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n + 2. Let b be m(-3). Suppose -b*c + 235 = -16*c. Suppose -5*j + 540 = 5*i, 3*j + 183 = 4*i - c. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124698 is divided by 476.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 126900 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*j**3 + 25023006467*j**2 - 25023006467*j**2.\nAnswer: 138*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2364989 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/3192 and 3\/44.\nAnswer: 35112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 152635102003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1327, 1759, 2483, 3505, 4831?\nAnswer: 6467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(4 + -11 + 9). Let k(h) be the first derivative of 0*h - 3*h**3 + 10 + 0*h**d + 0*h**4 + 11\/5*h**5. Find the third derivative of k(o) wrt o.\nAnswer: 264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19594*o**2 - 11493*o wrt o.\nAnswer: -39188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 90?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -970757 (base 10) in base 3?\nAnswer: -1211022121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 513845956 divided by -247?\nAnswer: -2080348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 + -1007\/9. What is the second smallest value in 0.5, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 + 442500*z + 9790312500 = 0.\nAnswer: -44250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-14 - -1) + 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22398678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - k + 1. Let h(a) = a**2 - 4*a + 6. Give -4*b(c) + h(c).\nAnswer: -3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6484, -12955, -19408, -25837, -32236, -38599?\nAnswer: -44920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 1:06 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 53, 39, 9, -43, -123?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-4) + 14\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 985 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001181 to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.118, 4, -4, 2?\nAnswer: 0.118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 119*t**2 - 119*t**2 - t**5 + (1 + 1 - 1)*(5*t**5 + 2*t**5 - 5*t**5) + 2*t**5 - 6*t**5 + 3*t**5 - 3*t**5 - t**5 + 0*t**5 + t**5 - 2*t**5 + 0*t**5.\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 4.7. Which is the third smallest value? (a) x (b) 5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55298796 and 336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-5)*(1 - 2). Which is smaller: 2\/213 or u?\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*f + 100*f - 58012 + 19932. Calculate the remainder when f is divided by 239.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 28. Let u be (4\/n)\/(2\/8). Suppose 4*w = -u*o + 50, 2*o = 3*w - 27 + 105. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3095 = l, -5*l - 6178 = -3*l - 2*k. Let d = -2077 - l. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**2 - 19660*a + 19662 = 0.\nAnswer: -9831, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148889, 298923, 448957, 598991?\nAnswer: 749025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1043*k**3 + 1060*k**3 - 4*k - 3205*k**3 - 4*k + 1067*k**3.\nAnswer: -35*k**3 - 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 5:08 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19\/5, 1, -111, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -151*y + 15328. Determine x(103).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -11\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = z - 1. Let o be 257\/3 - (-1)\/z. Suppose -o = -5*d - 2*j, 2*j + 94 = 5*d - 0*d. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006343894 rounded to five dps?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 24*d**2 + 7. Let h(a) = -49*a**2 - 15. Suppose 8*r - 5*u + 94 = 0, -25 = 2*r - u - 1. What is r*q(o) - 6*h(o)?\nAnswer: -18*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.018 from -10999.100051.\nAnswer: -10999.082051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -3 (c) -68873 (d) 377 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.5687 and 0.026.\nAnswer: -2.5427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 19*d - 11. What is the remainder when m(-17) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -8bf?\nAnswer: -8c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((2 - 10) + (3 - 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 0. Suppose u*v - 645 = 3*v. Suppose 5*d = 3*d + 3*g + 97, 2*g + v = 5*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 690*m. Let l(d) = 5*d**2 - 9*d. Let u(n) = -n**2 + 2*n. Let q(k) = 4*l(k) + 18*u(k). What is i(q(v))?\nAnswer: 1380*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p - 1. Let i(f) = -612*f**3 - 765*f - 765. What is -3*i(z) + 2295*k(z)?\nAnswer: -459*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmcwmcy. What is prob of sequence ycw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 - -124. Suppose -s + 65 = -j*s. Let t(r) = -3*r + 8. Let m(k) = k. Let h(g) = -2*m(g) - t(g). Let n(o) = 2*o - 17. Calculate s*h(b) + 6*n(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 108 = -13*j. Let w(c) = -j*c + 8*c + 7*c + 4 + 7*c. Determine w(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63801 and 144058?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**6\/30 + f**3\/2 + f - 2. Let c(o) be the first derivative of b(o). Find the second derivative of c(d) wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f - 7811 = 3690. Is (63836\/(-14))\/(106\/f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10777848 and 167?\nAnswer: 10778015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53 + -7788552?\nAnswer: -7788615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 934583.4 centuries to decades.\nAnswer: 9345834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 + 106. Let o(r) = -5*r. Calculate o(f(l)).\nAnswer: 15*l**2 - 530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 d when four letters picked without replacement from {i: 7, d: 9}?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171450671 and 2415.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -33*k**2 + 460*k + 1913. What is q(17)?\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587600956 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 q when two letters picked without replacement from {c: 7, q: 7, r: 2, d: 1, k: 2}?\nAnswer: 49\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 33*h - 19. Let r be f(-16). Let z be (-1)\/r - (-121)\/(-3). Let s = z - -54. Solve -4*u - s = -5*i, -u + 3 = -4*u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(5) + -2*sqrt(405) + sqrt(5)) + 1 + 3 + sqrt(88)\/(sqrt(8) + 3*sqrt(288)).\nAnswer: -3*sqrt(11)\/304 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/8 + (-57680)\/(-64). Suppose 0 = -5*s + 20*s - d. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 7\/2*p**2 - 6 + 4\/3*p**3 - 7*p - 1\/4*p**4. What is the remainder when w(5) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/21)\/l**(-1\/4))\/((l\/(l*l**(-1)))\/(((l*l**(-1\/7)*l)\/l)\/l)))\/((l**(2\/5)\/l)**(-31)\/(((l*l\/(l**(-5)*l))\/l)\/(l*l**(-1)\/l))) assuming l is positive.\nAnswer: l**(-5707\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -149229 >= -149460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/7, -41424, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(104)\/((sqrt(50)\/sqrt(5))\/sqrt(5)) + 1)*-1.\nAnswer: -2*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -5*p**4\/2 - p**3\/3 + 8. Find the third derivative of s(i) wrt i.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847 bigger than 845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (38\/(-114))\/(1\/(-3)). Which is the nearest to r? (a) -1\/6 (b) 0.2 (c) 1 (d) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13483.\nAnswer: 97, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3.9. Let x = 16 + -15.6. Let g = -0.3 + x. Which is greater: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/138*(-6)\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 0, -1 in decreasing order.\nAnswer: 8, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106301\/14 + -7586. Find the common denominator of b and 287\/(-24) + 344\/258.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -284 - -288. Suppose k*l + 21 = 11*l. Solve 4 = d - l*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -53, -49, -45, -41?\n\"Answer: 4*t - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 0.028365.\nAnswer: 0.17019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*l = 47 - 28 - 43, -3*x + 50*l + 112 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78251804 to the power of 1\/2, to the nearest integer?\nAnswer: 8846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19834 - -23321. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 >= -904?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 16 = 4*f, -39*f = 4*d - 43*f - 28 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5.07. Let y = b - -20.93. Let d = y - 21.000004. Round d to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/5 + -63\/50. Let n = l + -17\/50. Let u = -0.8 + 1.3. Put n, u, 1\/8 in increasing order.\nAnswer: n, 1\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6) + -2*1\/21?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/6 - (-2)\/4)\/5. Sort -4, 4, -11, d in descending order.\nAnswer: 4, d, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 at most as big as -84266\/1083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 153.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**2 + 7*l - 16. Is f(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5)**(2\/73)*i*i**18*i*i**(1\/3)*i assuming i is positive.\nAnswer: i**(4702\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 256, 258, 260, 262, 264?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70) - ((sqrt(70)*-5 + sqrt(70))*2 + sqrt(70) - sqrt(70))) - sqrt(70)*2*4)\/(-4*sqrt(40)\/(sqrt(4) - (sqrt(4) + sqrt(20)\/sqrt(5)*-5))).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2900*y - 437 + 1933*y - 3539*y.\nAnswer: -4506*y - 437","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 2*q**2 - 14*q - 13. What is h(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-30))\/((-10)\/96*-6)*(-123)\/164.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 10*j - 160. Let b(w) = 63*w - 255. List the prime factors of b(j).\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/22 in 0, -2\/9, -0.3, 2\/9, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2826215, -5652444, -8478655, -11304842, -14130999, -16957120?\n\"Answer: h**3 + 3*h**2 - 2826245*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6589*u**4 - 64*u**2 + 35*u wrt u.\nAnswer: -158136*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22700.3 and -0.4?\nAnswer: 9080.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, a: 3, n: 2, s: 1, q: 4, d: 4}. Give prob of sequence nnat.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + i + 103, -4*t - i - 411 = 13. Let f = t - -169. Suppose 2*v + 0*n - f = 2*n, 3*v + 3*n - 123 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1266.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*s + 35*s - 181 - 768. Sort 4, 14, s in descending order.\nAnswer: 14, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1863044 - -0.435\nAnswer: -1863043.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 491*m**3 - 14*m**2 - 549. Let a(g) = 328*g**3 - 10*g**2 - 366. Let o(y) = 7*a(y) - 5*r(y). What is the derivative of o(j) wrt j?\nAnswer: -477*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11014 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218134912 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.086675*-0.7.\nAnswer: 0.0606725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 52 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + 125a1?\nAnswer: 12595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/5 of a week?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4566*z**2 + z - z - 35158*z**2.\nAnswer: -30592*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.53 - 10.47. Let x = -13 - u. Let j = x + 6. Which is the nearest to 0? (a) -1 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30.7 - -31. Sort -0.5, i, 4, 2.\nAnswer: -0.5, i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 130, 488, 1064, 1840, 2798, 3920?\n\"Answer: -3*f**3 + 127*f**2 - 2*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 13*u**2 + 21*u - 118. Determine f(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 51*h + 3. Let k be f(4). Suppose 0 = 5*m - 28 - 97. Suppose -m*s + 119 = -456. Calculate the greatest common factor of k and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*x - 32 = 0, -d - 3*d = 5*x - 100. Suppose 2*l - d = 14. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(4 - 4 - t**2) + 27 - 3*t**2 - 27.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -35*x - 1. Let l be k(-2). Let z = l + -35. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2462 - 0.6462. Let d(g) = g**2 - 8*g + 10. Let n be d(7). What is the closest to 1\/3 in r, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 1 - 30*w in the form h*w + o and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**4*t*x**2 - 13998*n**3*t**2 - 38*n**2*t**2*x**2 + 2*n**2*t*x**2 - 221*n**2 wrt n.\nAnswer: -48*n*t*x**2 - 83988*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from fjjjjlgjjjjjjgjfjjj?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r + 2*r + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(26 - 28) + 1*-9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1590*d - 17713 = 7312*d + 49181 - 22384 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 8:25 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Let p = w - 0. Suppose -4*s = -7 + 11. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x**2 - 2*x. Let p(d) = 158*d - d**2 - 158*d + 2*d**2. Let c(m) = -10*p(m) + 2*w(m). Find the second derivative of c(g) wrt g.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**3 - 63*w**2 - w + 2. Determine v(-21).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4\/3*m**2 - 1036 - 472\/3*m = 0.\nAnswer: -111, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3452*t**2 + 2*t*z**2 - 95*z**2 - z + 1 wrt t?\nAnswer: 6904*t + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 71 in -5, -9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1354 - (45\/25 - 12\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.16 + 8.2. Let p = i - -16.960751. What is p rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = p - 135, -4*v - 5*p + 7*p + 170 = 0. Let d(x) = -4 + v*x**2 - 6 - x**3 + 2*x**3 - 51*x**2. Determine d(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 2*-5*-26*3\/(120\/8)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(85)*-2 - sqrt(85) - sqrt(85) - (sqrt(85) + (sqrt(85) - sqrt(85)*-5 - sqrt(85)))*5)\/(-2*(((-1*sqrt(10))\/sqrt(2) - sqrt(5)) + 2*sqrt(405))).\nAnswer: 7*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 578640, 578641, 578642, 578643, 578644, 578645?\n\"Answer: j + 578639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 2*l**2 + 4*l + 8. Let d be q(4). What is the highest common divisor of 24 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 84 = 8*w. Let d be 26\/10 + w\/(-35). Solve -3*j = -5*u - 27, -5*u - d*j - 23 = -5*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-180 + 180 - 34*f)*(-3*f + f - f) - f**2 - f**2 + 4*f**2.\nAnswer: 104*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - 8\/(-4))*-1. Suppose 2*o + 15 = -3*c, -o - 3*c - 12 = x. Suppose 3*i = 2*j + 11, o*j + 5*j + 10 = 4*i. Solve 0*b + b - 3*g + 7 = 0, j*g = 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.422 in 2, -3, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 413002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5175 - 2496. What is the highest common divisor of t and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*k - 19521 - 4598 = 95*k for k.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -53, -139, -295, -545, -913?\nAnswer: -1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 - -114. Let p be 18\/(-22)*1 + (1 - o). Which is the nearest to -0.1? (a) p (b) -0.11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -146?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1454 = -n, n + 2*n + 5*z - 4357 = 0. What is the remainder when n is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*b, 2*b + 2 = 4*k - 4. Let t be b\/(-4) - (2 - 918\/24). Calculate the highest common factor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q + 116. Let s be r(-16). Factor -2\/13*n**3 + 0*n + 0 + 2\/13*n**5 + 2\/13*n**s - 2\/13*n**2.\nAnswer: 2*n**2*(n - 1)*(n + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/2 of a century?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 7*y - 15. Let n = -3 + y. Suppose n = -r - 4, 72 = 3*q + q + 5*r. Solve 4*m - 3 = -q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57116861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/10 (b) -3\/5 (c) 10 (d) 0.02 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312 and 585.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 153615 and 7840?\nAnswer: 4915680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77088 and 18812640?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 9:15 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 12*v. Let n(l) be the second derivative of 1\/3*l**3 + 0*l**2 + 0 - 16*l. Give a(n(h)).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10813.4764 - 10814. Round z to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/3468 and 29\/340.\nAnswer: 17340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 2140754567.4.\nAnswer: -2140754565.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**5\/120 - o**4\/12 - o**3\/3 - 2*o. Let c(b) be the second derivative of g(b). Find the first derivative of c(p) wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624.9829 kilograms in milligrams?\nAnswer: 624982900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-325*(-22)\/1650)\/((-13)\/(-3))*(-2)\/(-175).\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1755 - 3137. Let u = -772 - o. Let q = u - 51155\/84. What is the common denominator of -49\/20 and q?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/366 and 67\/4209.\nAnswer: 8418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 8*z - 4. Let i(j) = -j**2 - 9*j + 9. Let x be i(-9). Let s be r(x). Solve 6 - 3*f + 2*f**2 - s*f**2 + 5*f**2 - 5*f**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*z - 65*z + 8*z)*(3 - 3 + 6*z**2) - 10*z**3 - 5*z**3 + 6*z**3.\nAnswer: -177*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 867 + 3069 = -164*u for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(272) + (-2 + sqrt(425) + sqrt(425) + sqrt(425) - sqrt(17))**2*-6)*2.\nAnswer: -40032 + 624*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-17\/4)\/y))\/(y*y**(19\/3))*y*y**(-24)*y*y**(2\/43) assuming y is positive.\nAnswer: y**(-11887\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 118, 91, 56, 13?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/(-1 - (-69)\/60). Let y(m) = l - 2 - 27 - 17 - 7*m. What is the tens digit of y(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -787.361 - 0.139. What is c rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1774464 and 3968.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -3\/2*c**2 + 0*c**3 + c + 1\/2*c**4 + 0. Let u(o) be the first derivative of -o**3\/3 + o - 13. Calculate -h(a) - 3*u(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 25. Let y be (-15)\/6*18\/(-3). Suppose t = 3*a - y, -12 + 32 = 4*a - 4*t. What is the remainder when x is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfrf when four letters picked without replacement from {r: 5, f: 5, h: 5, a: 1, p: 3}?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.31969 rounded to 2 dps?\nAnswer: 5.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence morm when four letters picked without replacement from rpxrmnrrrmmroxx?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.151 - 6.969. Let q = h + 5.7. Let k = -0.018 - q. What is k rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -9, 0.4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let l = 0.138 + 0.162. What is the closest to s in -0.3, -5, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 10 - 7 - (-400 - 0 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160588482 divided by -26764747?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1715 = -24*n - 563. Solve -28*k - n = -36*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1352 and 3032536?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-26\/7)\/(a\/(a\/a**(2\/21)*a)))\/(a**(-1\/27))**(-2\/29))**(4\/27) assuming a is positive.\nAnswer: a**(-61652\/147987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11365116.945599402 - -11365117. Let d = 0.0544 - z. What is d rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1803 by -3.\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*g - 4244, -2*l + 2075 + 2161 = -2*g. What are the prime factors of l?\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 12*r + 77. Calculate the remainder when 54 is divided by t(-15).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 4\/9*w**2 - 4\/9 - 2*w.\nAnswer: 2*(w - 1)*(w + 1)*(9*w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 64*u**2 + 150*u + 2823. What is the tens digit of z(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 49 - 507. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 14991?\nAnswer: 14991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 12:43 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 0*j**5 + 0*j + 0*j**3 + 0*j**4 + 1\/6*j**6 + 2 - 1\/2*j**2. Find the second derivative of k(c) wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 492, 985, 1478?\n\"Answer: 493*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339.\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -105641 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 0*n + n + 0*n. Let a(y) = -2*y. Calculate f(a(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 51.\nAnswer: 50.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52235 is divided by 110?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -807 + 813 + 1 + -1 + (21 - 1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16729, -33686, -50643, -67600?\n\"Answer: -16957*y + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52400788 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -846719*s**2 - 15099*s + 44 wrt s.\nAnswer: -1693438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 63 = 2*z. Let g = -39 - z. Suppose 3*b = -2*r + 34, b - 4*r = 2*b - 28. Calculate the smallest common multiple of b and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -461393\/15 or -30761?\nAnswer: -30761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -2, 1, 52, 5 in increasing order.\nAnswer: -2, 1, 5, 32, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:59 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24822 + 45927. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 1\/120*k**5 + 4*k**2 + 1\/12*k**3 + 1\/24*k**4 + 0*k + 0. Factor j(w).\nAnswer: (w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dze when three letters picked without replacement from {u: 2, e: 6, z: 4, d: 1}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/7 + 9546\/602. Let n = 62 + 73. Calculate the greatest common divisor of n and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*r + 22*r - 732. Let u = r - 50. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 7. Let v = -13 + 16. Let z(w) = 80*w**2 - 84*w**2 + 7*w**3 + w**v + 2 - 6*w. Let t(m) = -7*m**3 + 3*m**2 + 5*m - 2. What is o*z(i) + 6*t(i)?\nAnswer: -2*i**3 - 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 - 70. Factor 3*b**4 + 50 - 3*b**3 + 3*b - w - 3*b**2.\nAnswer: 3*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**4 - b**4 - b**4 - 3*b**4 - 4*b**4 + 5*b**4 + (0 + 4 - 3)*(-2*b**4 + 3*b**4 - 2*b**4) - 12*b**4 + 0*b**4 + 53*b**4.\nAnswer: 39*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1408))\/(sqrt(132)\/(sqrt(12) - sqrt(48)) - sqrt(11)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, 8, -20, -4, 2\/3, 2\/7, 15.63?\nAnswer: 15.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -771189*u - 5398327. Calculate b(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*w - 124*w + 58*w - 238 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = 0, 78 = 5*z + 6*k - 5*k. Let t be 5\/(z\/(-9)) + 2336. Suppose t = 8*q - 123. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27724951 to the power of 1\/3, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/17712 and -37\/16320624.\nAnswer: 146885616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 1:10 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1511203 and -0.2.\nAnswer: -302240.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 - 88\/32.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96029 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 6. Let r(s) = -7*s + 1. Give r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-1) + (-4 - -4). Suppose 0 = 4*u - 2*u - 6. What is the second derivative of -3*i**u + 12*i**3 - l*i - 5*i wrt i?\nAnswer: 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/(b**3\/b))\/(b**(-1\/4))**(-3\/32) assuming b is positive.\nAnswer: b**(509\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(2\/3))**32\/(c**1*c*c)**(-2\/71) assuming c is positive.\nAnswer: c**(9106\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {g: 2, b: 17}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -10. Suppose -11*y = -6371 - 9645. Suppose 16*n + y = s*n. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457245 is divided by 65320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -356*g - 367. Let k(t) = 353*t + 366. Let d(u) = -3*k(u) - 4*o(u). What is the first derivative of d(v) wrt v?\nAnswer: 365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*b + 160*j - 161*j, -b - 20 = 4*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Let d = q - -5. Calculate the highest common divisor of d and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 64 + 4144*h.\nAnswer: 4144*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d**2 - 4*d + 42*d**2 - 2 + 27*d**2.\nAnswer: 109*d**2 - 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 16 = 13*c - 16*c, -2*c + p = 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**6\/60 + b**5\/30 + b**4\/6 - 24*b**2. Determine o, given that v(o) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20675, 20960, 21245, 21530, 21815, 22100?\n\"Answer: 285*c + 20390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 109 = 5*c. Let p = 789 + -706. Suppose 77 + p = 5*n. Is n smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q**3 + 19*q**3 + 11*q**3 + 2*q**3.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-14) - 77\/49. Let y be 34\/t*(-1)\/(-2). Is y < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/765 and -28\/2295?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 13. Let c(g) = g**3 - 8*g**2 + 7*g + 6. Let x be c(k). Solve -x = 4*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156 (base 9) to base 15.\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -54037, -54036, -54035, -54034?\n\"Answer: d - 54038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22582339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2125*r**4 + 29118*r**2 - 472306374*r?\nAnswer: -25500*r**2 + 58236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1 + 1 + 1 - 3 + (-4 + 4 - 2)*(0 - 2 + 0))*(30*b**4 - 49*b**4 - 68*b**4).\nAnswer: -174*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6*(-9 + (-3704)\/(-408))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 13 = -46. Let s(b) = b - 7. Let g be s(r). Solve -6*k - 4 = -2*k - 2*z, g*z - 21 = -5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*(2\/8 + 87\/(-116)). Let m(l) be the second derivative of 0*l**2 + 0 + 1\/4*l**k + 1\/9*l**4 - 2\/9*l**3 - 17*l. Find f, given that m(f) = 0.\nAnswer: -2\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4*k - 44, -k - 97846 = -97855 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2. Let k(w) be the second derivative of -29*w**4\/24 - w**3\/6 - 45*w**2 - 70*w. Let j(x) be the first derivative of k(x). Determine b(j(s)).\nAnswer: -1682*s**2 - 116*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23946483 to the nearest integer?\nAnswer: 4894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 0 - 1\/24*s**4 + 2\/3*s**3 - 2*s + 2*s**2. Give u(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6742586567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2 + 17. Suppose -2*d + 18 = d - 5*k, 3*d + v*k = -12. Put d, -5, 10 in decreasing order.\nAnswer: 10, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + x = 31, 3*d - 3*x - 3 = 4*d. Let r be (-21)\/(-9) + d\/18. Solve r*n + 6 = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 150*l**2 + 2*l**3 + 40 - 18*l + 8*l + 10*l - 41 as q*l**3 + w*l**2 + z + i*l and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*((z**(-4\/7)*z)\/z*z)\/z)**(2\/7) assuming z is positive.\nAnswer: z**(6\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.08 + -10.08. Let u = 41.948 + -42. Let b = u - -0.352. What is the second smallest value in -6, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/200)\/(((-450)\/30)\/(-150)).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 162671297115 and 1.\nAnswer: 162671297116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Suppose -4*t + 16 = w. Suppose 72 = t*u - 0*u. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 32 = -b. Let i(k) = 44*k - 1. Let a be i(-5). Let t = a - -333. What is the highest common factor of t and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**4 + t**3 - t - 1. Let d(j) = 9*j**3 + 21*j**2 + j - 11. Let s(b) = -3*d(b) + 21*n(b). Let s(o) = 0. Calculate o.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279136373*a + 279136373*a - 75*a**3.\nAnswer: -75*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1251 - 1254.6984. Let d = h - -0.7014. Let a = d + 3. Round a to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1195.026 - 1191. Let d = -0.34 - -0.544. Let h = d + n. Round h to 1 decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3 - 22382*b**2 - 472757*b wrt b?\nAnswer: 18*b - 44764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2 (b) 5\/2 (c) -8 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/122648 and -133\/10968.\nAnswer: 168150408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 101*m + 206.\nAnswer: -(m - 103)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0*v + 4*v + (5 - 4 - 2)*(4*v - 3*v + 3*v))*(-2 + 4 - 1 + 3 + 0 - 4 + (3 - 4 - 1)*(-1 - 5 + 4) + 13 + 6 - 17).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2738, -5446, -8152, -10856, -13558?\n\"Answer: l**2 - 2711*l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 3:13 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2313 and -4.7.\nAnswer: 10871.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206092691.\nAnswer: 3, 59, 71, 31991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbwuwbwwwuww. Give prob of sequence uwu.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 135 - -1138?\nAnswer: 126d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/8 + 2\/8. Let z(a) = 2*a**2 + 2*a - 1. Let t be z(y). Suppose -2*j + 4 = t*d + d, 5*d = j - 23. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 42*s + 4916. Determine v(-117).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 m when four letters picked without replacement from {y: 11, m: 9}?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445937 divided by -1.\nAnswer: -445937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22, 39, 50, 55, 54, 47?\n\"Answer: -3*b**2 + 26*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/9 - 145894*x**2\/9 + 886853152*x\/3 + 295633928 = 0. What is x?\nAnswer: -1, 36474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16150 and 1102?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 3:04 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*r**2 - 3*r**2 - 22*r**2)*(-3*r + 2*r - 2*r) + 2 + r**3 - 2 + 3*r**3 - 3*r**2 + 20*r - 43*r + 25*r.\nAnswer: 184*r**3 - 3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17468 by 141.\nAnswer: -17468\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1682 + -1680.7. Which is the third biggest value? (a) -0.2 (b) -0.4 (c) p (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03082823696 to five decimal places.\nAnswer: -0.03083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/4295575 + 4585096859\/111684950. Let h = -409\/10 + x. Solve 0 + 0*m**2 + 0*m + 4\/13*m**3 + h*m**4 = 0 for m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9*3*3\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 6:42 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/9 - 21)\/((-1)\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1317 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1078 and 2061136?\nAnswer: 2061136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 393*q**2 - 15466266*q.\nAnswer: 3*q*(q - 2337)*(q + 2206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(4*6\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 268*l - 673. Is z(27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 39, -13, 1 in increasing order.\nAnswer: -13, -5, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w + 6 - 21*w**2 + 15*w**2 + w wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 - (249 + -260 - (1 + -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**5\/20 - 17*s**4\/12 + s**3\/2 - s**2 - 17*s - 34. Let j(m) = 8*m**2 - m + 1. What is 5*j(g) + 2*p(g)?\nAnswer: 2*g**3 + 6*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 464984*y - 464985. Give h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 8:12 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-3 - (-4 + -13)). What is k rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844549 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -1\/2 (c) 0.1 (d) 3475 (e) 1.53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4299*s**3 + 13*s**4 - 4299*s**3 + (4*s**3 - 4*s**3 + s**3)*(-s - 2*s + 4*s) - s**4 + s**4 + 2*s**4.\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49335?\nAnswer: 3, 5, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 35 - 45*d + 18*d + 20*d + 6*d.\nAnswer: -d + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 34 = 3*p. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71705143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23\/(-2*(-1)\/6). Suppose -1289*g + 385 = -1288*g. Let t = 453 - g. Which is greater: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 8*t**3 - 2*t)*(t**2 - 5*t**2 + 5*t**2) + 698*t**5 - 63*t**5 + 128*t**4 - 65*t**4 - 63*t**4.\nAnswer: 627*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h. Let c be 2\/(-9) + (-40)\/(-18). Let d(q) = -2*q**c - 9*q + 9*q. Determine d(y(r)).\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w = -12*w - 42. What is the greatest common divisor of w and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5 - 74*t**4 - 2*t**3 + 148*t**2 + t - 74 = 0. Calculate t.\nAnswer: -1, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173085\/3 at most as big as 724363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 719 by 9.\nAnswer: 719\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 9. Let c be ((-3 - -2) + 2)*p. Let m = 12 + -8. Solve m*x + 3 = -c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*g + 8. Suppose -i = 3*i, 0 = -g*r + 2*i + 38. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/19 - 758*g + 5171076\/19.\nAnswer: 2*(g - 6822)*(g - 379)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 979.8343 weeks in minutes?\nAnswer: 9876729.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5586023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 514569617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/5 - 8762*w\/5 + 19193161\/5 = 0.\nAnswer: 4381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 16*l**2 - 1198*l + 1198*l)*((-3*l**2 - 1 + 1)*(2*l - 2*l + l) + 9*l**3 - 2*l**3 + 7*l**3).\nAnswer: 176*l**5 - 11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4 = u, -4*s + 2*u + 4 = 10. Let f be (-15)\/10*s\/(-3). Let k = f - 0. Which is bigger: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0 - 5*c**2 + 0*c + 3\/2*c**3 + 0*c**4 - 1\/15*c**5. What is the first derivative of h(b) wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 1937*u**8\/168 - 9853*u**5\/60 - 1340*u**2 + 2*u. What is the third derivative of k(n) wrt n?\nAnswer: 232440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.08, -0.14, -5, -3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93*(-4)\/33 + (86 - 74).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 20*z**2 - 2239*z + 32. What is the lowest common multiple of 360 and s(112)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/117 and 33\/7?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*sqrt(133))\/sqrt(7) + (sqrt(57)\/(sqrt(3) + sqrt(3) + sqrt(27)))**2).\nAnswer: 57\/25 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 10926\/17 (c) 109 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*h**4 + 21*h**3 - h - 106.\nAnswer: -156*h**2 + 126*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 35*s + 161. Let x be z(24). Let d be 2264\/14 + (-6)\/(-21). Let h = d + x. What is the remainder when 28 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -6*s - x + 7, 3*s = -5*x + 23 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1183*r - 21. Let v(m) = -237*m + 4. Give -21*v(g) - 4*x(g).\nAnswer: 245*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -36195056 <= -36195055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 11\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2 - 10) + (-13 + 57 - 34).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49908674.\nAnswer: 2, 211, 227, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 9\/3*-2. Let r(m) = w*m - 2*m - 2*m. Let b(t) be the second derivative of t**4 - 17*t. Determine r(b(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3251 divided by 4.\nAnswer: -3251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u - 1018. Let d(j) = -3*j + 502. Determine -7*d(b) - 3*m(b).\nAnswer: 3*b - 460","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = 24*o + 11*o - 8*o. Solve 36*z - 46 - 170 = o for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10066 is divided by 260?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 10. Let a(k) = k**3 - 11*k**2 - 11*k - 9. Let r be (1\/3)\/((-7)\/(-252)). Let o be a(r). Solve l = -u + o*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16689\/56 - 2080\/7. Factor -9\/8*f**3 + p*f**2 + 0 - 1\/4*f + 5\/8*f**4 - 1\/8*f**5.\nAnswer: -f*(f - 2)*(f - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31073, 31072, 31071, 31070?\n\"Answer: -k + 31074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxqxq. Give prob of sequence qq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:26 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 9*z**2 - z + 12. Let t be c(9). Suppose -j - 5 = -t. Put 3, 4, j in descending order.\nAnswer: 4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1527451 and 5723.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(8*g - 60 + 60) - 62 + 62 + 75*g - 4*g + 2*g + 3*g + (g + 4 - 4)*(-1 + 0 - 1) + 1 - g - 1 - 2*g - 4 + 4.\nAnswer: 63*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*j = -25*j + 46*j + 245 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h + 9. Let l be c(-3). Let j be (2 + (-50)\/(-15))*l\/(-4). Suppose 22*s**2 + j*s**2 - 51*s**3 + 144*s**4 - 71*s**4 - 64*s**4 = 0. Calculate s.\nAnswer: 0, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 14. Suppose -d - 2 = -0, -d = 5*q - 28. Let j be i(q). Solve 2*w = 6*w - j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 42157160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*k - 97, 6*n + 4*k - 125 = n. Let q = 41 - n. Calculate the highest common divisor of q and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 4:00 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r - 7. Let p(h) = -3*h + 4. Suppose 67*g - 160 = 33*g + 18*g. Give g*p(c) + 6*o(c).\nAnswer: 12*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4649 + -4648.99954628. Round l to six dps.\nAnswer: 0.000454","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -209881*j**3 - 3*j**2 + 2*j + 8632059?\nAnswer: -629643*j**2 - 6*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3425688762?\nAnswer: 2, 3, 570948127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 69 = -13. Let m = 38 - 36. Suppose -a + 11 = j, -m*j + j = -2*a + 7. Calculate the smallest common multiple of i and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7296a6 (base 11) to base 14.\nAnswer: 22628c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/447 and -44\/3.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/3, 2, 1, 2\/69 in descending order.\nAnswer: 2, 1, 2\/69, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 39933820.\nAnswer: -7986764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-6) - (-6)\/9. Let h be (1 - 0)\/(c\/18). Suppose 3*q = 8 - 2. Let t(s) = -2*s - 1. Let o(p) = p**2 + 8*p + 4. Calculate h*t(l) + q*o(l).\nAnswer: 2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**4\/6 - 4*k**3\/3 + 4*k**2 - 8*k. Let t(b) be the first derivative of c(b). Differentiate t(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**19*y*y)**11)**33 assuming y is positive.\nAnswer: y**7623","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12205*c**3*u**2 + 2*c**3*u + 5669*c**3 - c**2*u - c*u + 3*u**2 wrt u.\nAnswer: 24410*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1337*s**2 - 1341*s**2 - 1331*s**2 - 1337*s**2 - 1330*s**2 + 6660*s**2.\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3761 - 3734. Calculate the remainder when 318 is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.2 * -9482063.\nAnswer: -39824664.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202947*t**3*y**2 + 4*t**3 + t**2*y**5 + 5855*t*y - 2*y wrt y?\nAnswer: -405894*t**3 + 20*t**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 1. Let f be ((-4)\/(-10))\/(7\/105). Suppose -5*l = -5*c, l + 3*l = c - 12. Let a = f + c. Let n(v) = v**2 + 11*v + 6. Give a*n(h) - 11*t(h).\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69768.17mg to kilograms.\nAnswer: 0.06976817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 776047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tycj when four letters picked without replacement from {y: 7, t: 5, j: 1, k: 4, u: 1, c: 2}?\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c - 1. Let i be g(4). Let j(t) = 410*t - 205*t - 207*t - i. Let x(d) = -2*d - 6. Give -5*j(w) + 6*x(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4180 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 11:11 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3 - 23 = 0. Solve -5*k = -p*a, 4 = 3*k - 2*a + a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1748777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2 + 52*x - 17. Let a(s) = -5*s**2 - 26*s + 12. What is -7*a(l) - 4*p(l)?\nAnswer: 3*l**2 - 26*l - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15413 by -6.\nAnswer: 15413\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 62*k. Suppose 0 = 24*v - 9*v - 210. Let a(s) = -21*s**2 - v*s**2 + 54*s**2 - 15*s**2. Give a(u(t)).\nAnswer: 15376*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*sqrt(192)*4)**2 + ((sqrt(42)\/(sqrt(6)\/sqrt(3)))\/(sqrt(28)*6))**2.\nAnswer: 22118401\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3751.322 nanograms to grams.\nAnswer: 0.000003751322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -2, 48, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 11*t - 4 - 7.\nAnswer: -11*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10dc3 (base 14) to base 16.\nAnswer: a0af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 16*f**2 + 5. Let g(w) = -3*w**2 - 1. Let x(p) = 11*g(p) + 2*k(p). Let q(m) = 10*m**2 - m + 10. Calculate 2*q(l) + 18*x(l).\nAnswer: 2*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 4*p + 6*p)*((3 + 0 - 2)*(-16*p + 21*p - 8*p) - p + p + p).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 465469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97735 and 133275.\nAnswer: 1466025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*j + 2722, 0*f + 2183 = 4*f - 5*j. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*l - l. Let n = l - -3. Let t be 6\/(-60)*-46 + -4. Is t less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z - z**3 - 3 + 5*z**2 - 3*z**2 - z**2 + 0 - 6*z**2. What is g(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/15)*y)**(1\/10)*y\/(y**(2\/15)\/y*y*y*y)*y\/((y**(-21)\/y)\/y*y) assuming y is positive.\nAnswer: y**(552\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let z(i) = 4*i - 1. Let k(n) = -n + 6. Let u be k(7). Determine u*z(d) - 3*c(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhbh when four letters picked without replacement from {b: 9, h: 5}.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*14)\/(2\/(-3)). Suppose -z = 2*z + n. Let s = z - -11. Solve s*u + 6 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -y + 4*y - 23, 2*m = 5*y - 13. Let n be m\/(-6) - (-104)\/(-138). Which is the biggest value? (a) 1\/3 (b) n (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24370061 and 328290.\nAnswer: 731101830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-14))\/((186030\/1113)\/(-195))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 7*k + 20. Let i be (20\/(-30))\/((-4)\/174). Solve -5*m - i = k*d, 5*d + 5*m + 30 = m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/485*(-105)\/(-14). Is c at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f - -43bb1?\nAnswer: 43c00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 10*o**2 - 4*o + 25. Give r(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*g - 33*g - 25. Let w be (-62)\/(g + 2 - 9). Is 30 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*i = -69*i - 5313910. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.53327014 + 0.0002.\nAnswer: -0.53307014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 24*g**4 - 48*g**3 + 4*g**2 + 24*g - 12. Let b(h) = 24*h**4 - 47*h**3 + 5*h**2 + 23*h - 11. Let o(n) = -4*b(n) + 3*w(n). Let o(y) = 0. Calculate y.\nAnswer: -2\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from zzsmmmzwmmsmmmszmmm?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 + (-8 - (-172 - 12) - 15) + -1\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6 = 2*k - 4*f, 4*k - 5*f = -2. Let y = 0.701 + -0.701. What is the nearest to -2\/5 in 1\/2, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 1 - 1)*(t + 0*t - 2*t)*(17 - 10 - 11*t - 10).\nAnswer: -22*t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9044 by 68.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -913*-40.6\nAnswer: 37067.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -27*q**4 - 41*q**3 - 54*q**2 - 8*q. Let p(d) = -17*d**4 - 27*d**3 - 36*d**2 - 5*d. Let m(a) = 15*j(a) - 24*p(a). Find s, given that m(s) = 0.\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -899 - -1141. What is the greatest common divisor of z and 308?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4883, 4924, 4967, 5012, 5059?\n\"Answer: o**2 + 38*o + 4844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -9*k**4 + 5*k**3 + 5*k - 15. Let f(j) = 7 + j**4 - 2*j**3 + 2 + 3*j**4 - 2*j - 2. Let q(w) = -2*a(w) - 5*f(w). Differentiate q(m) with respect to m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201607493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f + 34*f**2 - 1\/90*f**5 + 0*f**3 - 5\/36*f**4 + 0. Factor l(d).\nAnswer: -2*d*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0389043 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + -1*sqrt(2057)*2 + sqrt(2057).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/1306, -1\/6, -48\/5, 5, -0.035?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -69018*2.1\nAnswer: -144937.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*k = -39*k - 2024. Solve 7*u + k - 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = c + 2*r - 3, 0 = -c - 4*r + 44. Differentiate -c + 28 + 1322*p - 51 - 1400*p with respect to p.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -29*m**2 - 5*m + 66. Let i(n) = 14*n**2 + 3*n - 33. Suppose 26 = 6*c - 4. Let x(y) = c*i(y) + 3*h(y). Find the first derivative of x(l) wrt l.\nAnswer: -34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 249074?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -525, -5, 42108, 4.\nAnswer: -525, -5, 4, 42108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9 - 5 - a + 12 - 8*a**3 + 2*a**2 + 0*a. Let h be b(-1). Solve h*x = 8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25155167*b**6 - 470000221*b**2 wrt b.\nAnswer: -3018620040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/10*(-12)\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**3\/2 - 15*q**2 - 13*q. Suppose 6*k + 40 = 2*k. Let t be n(k). Solve -4*o + 11 - 3 = t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 28)\/((-27)\/(-6) + -3). Suppose 0 = -11*q + 2*q + t. Solve q*u = 3*u - 2*d + 1, 2*u + 2*d - 16 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325, -387, -449?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12136 + 12136 - 160*o**2)*(-o + 7*o - 11*o).\nAnswer: 800*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:14 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -8\/85*k**5 - 10 + 2\/17*k**2 - 2\/17*k**4 - 2\/17*k + 2\/17*k**3. Solve p(h) = 0 for h.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-556)\/(-10))\/((-2)\/(-5)). Suppose -5*m - 39 = 5*i - a, 0 = -i - 5. Let c be -3 + (m\/(-20) - -4). What is the third smallest value in c, -1\/2, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106 or 1732?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011 - -1011111?\nAnswer: 100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-15) - (91884\/(-620) + 106).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 1 - 1 - h**2 + h. Let q(j) = 4*j**3 - 9*j**2 + 10*j - 7. Let c be (-3 + -2)\/(0 + 1). Let d(n) = c*i(n) + q(n). Give d(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5))**(7\/8))**(-2\/65)\/((m\/m**(-2))**(-3\/4)*(m\/m**6)\/(m*(((m*(m**(-6)*m)\/m)\/m)\/m)\/m)) assuming m is positive.\nAnswer: m**(311\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1757130950.00000043 - -1757130976. Let q = g - 26. Round q to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 83.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*j - 14*j = -480 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 308? (a) 1\/50 (b) -5 (c) -0.2 (d) 297\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(304) + 1 + sqrt(304) + 3)**2 + (sqrt(304) + (sqrt(304) - ((sqrt(304) - sqrt(304)*-2) + 1)))**2 + (5 + sqrt(304) + 1)**2.\nAnswer: -4283 - 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**2 + 3*m - 3*m)*(90*m + 105*m**2 - 178*m + 79*m) in the form j*m**3 + l + w*m + p*m**2 + y*m**4 and give y.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = 235*p - 239*p - 5*i, -8*i + 51*i = -3*p + 1020 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 14973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*p = -72*p - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 6:28 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100101110011 + -11?\nAnswer: -100100101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 26.9 (b) -0.1 (c) 1\/36 (d) -2\/3 (e) -1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1550 (base 13) in base 6?\nAnswer: -22215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118 - 61 - 57 - 4*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 - 188 = -2*s - 17*m, -13*s - 56*m = -60*m + 18 + 71 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/14 and 27\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8485.003 + 8479. Let l = -0.69 + 6.69. Let j = l + z. Round j to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3245096 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2490 - -2557. Calculate the remainder when 337 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*u - 37*u + 0*u + 1 - 3*u - 22*u - 16*u.\nAnswer: 28*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4772 - -14188\/3. Which is greater: -43 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(26) - (sqrt(650) + (sqrt(650)*2 - sqrt(650) - sqrt(650)) - sqrt(650))) + (sqrt(104)\/sqrt(4)*-6 - sqrt(26)))\/(-1*(-3*sqrt(16))\/sqrt(8)) + 1.\nAnswer: -2*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**3 + z. Let d(c) = -8*c**3 - 16*c**2 + 5*c + 2. Calculate -d(i) - v(i).\nAnswer: i**3 + 16*i**2 - 6*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 597, 1684, 4639, 10398, 19897?\nAnswer: 34072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 10) in base 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i**2 + 66*i + 66. Let q be j(-1). Solve 0 = q*y - 33 + 98 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 3*g + 8*g - 5*g. Let z(u) = 32*u. Give b(z(x)).\nAnswer: -1024*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q + 773 + 256*q**2 + 780 + 29*q**2 - 1553 to d + v*q + g*q**2 and give g.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.733 + -0.033. Let t = 0.3 + g. Let b = 6.996 - t. Round b to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2. Let b(g) = -9*g. Give b(v(f)).\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 2*h**2 - 2*h**2)*(0*h - 3*h + 2*h) + 2*h**3 + 2*h**3 - h**3 + h**3 + 3*h**3 - 2*h**3 + (-3*h**2 + h - h)*(-h - 2 + 2).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2925\/104)\/(-75)*(-17)\/(153\/150)?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 100*h + 4163. Let c be v(77). Solve -7 = 5*o + 4*a, 254*o - 258*o + c*a + 19 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/((-2)\/(-4)). Suppose j - 142 = -g*j - 2*h, 9 = -3*h. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1738855659 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5 + 3700*i**4\/3 + 1252*i**3\/3 - 3704*i**2 + 3698*i\/3 + 2468\/3 = 0. Calculate i.\nAnswer: -2, -1\/3, 1, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46 + (5 - 3) - (-4)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c\/(c*c\/c**(-2\/27))*c)\/(c\/c**(-3\/14)*c**17) assuming c is positive.\nAnswer: c**(-7291\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 2. Let y(a) = 1. Let b(w) = n(w) + y(w). Let s be b(-4). Let u(z) = -z**3 + 6*z**2 + z - 5. Let p be u(6). Solve 0 = s*t - 2*t - p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012405 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1147 - 6881\/6. Let s(p) be the second derivative of -1\/40*p**5 - m*p**3 + 1\/8*p**4 + 0 - 11*p + 0*p**2. Factor s(x).\nAnswer: -x*(x - 2)*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 645572 to the power of 1\/2, to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 = -0. Let l = -3 - c. Solve -2*m + l = -2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {o: 2, b: 1, h: 1, t: 2, j: 1, v: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 + 142*z**2 + 15*z + 1255. Let y be q(-71). What is the greatest common divisor of y and 5605?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -4*d - 5*y, 0 = -3*d + 501*y - 506*y - 28 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 78. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**5\/90 + n**4\/12 - 2*n**3\/9 - 536*n**2. Find h, given that q(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -2 - 4*(-11)\/(-12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 (base 12) in base 11?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55066*a**2 - 335*a*i + 10535507*i wrt a.\nAnswer: -110132*a - 335*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 38\/(-4))*2. Let l = -17 - b. What is the remainder when 67 is divided by 15*(-4)\/l - 6\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -70, 0.5, 5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 6503940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2736) + sqrt(2736)*-2*-6 - (sqrt(2736) - 4*(0 + sqrt(2736)))) + 3)**2.\nAnswer: -384*sqrt(19) + 700417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = 5*c - 5, 0 = 2*c + 5*j - 18. Let a be -2 + c*(-2 + 15). Let f = -10 - a. Solve -4*t - 3*i + 1 = 0, 3*i = -0*t - f*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**21)**5 assuming q is positive.\nAnswer: q**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcccf. Give prob of picking 1 c and 2 f.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = l - 6*l. Let o = -7 - l. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 5\/2*m**2 - 38 + m. Suppose 0 = -2*r + r + 4. Let g(t) = -t. Give r*g(i) + w(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 + 168. Suppose 7 = 2*q - y. Suppose 3*p - q = 2*n, 3*n - 6*n = 3. Solve c = -2*c + p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146610 and 9420.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 141480?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**2 + 121*f**2 + 18*f**2)*(1 - 1 - 3) + 7*f**2 + 3*f**2 - 5*f**2 + 4*f**2 + f**2 - 6*f**2 + (-2*f + f + 3*f)*(0*f - f - f).\nAnswer: -435*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4401 is divided by 259?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from uywuynyununwxyny?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:54 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136.4 + -136.78. Which is the third biggest value? (a) 0.06 (b) -0.4 (c) -5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -2\/5 (b) -0.1 (c) 0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 221.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 11 = 6*m + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 6. Find the common denominator of 1\/3 and 25\/10*166\/c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**4\/14 + 8*b**3\/21 + 4*b**2\/7 - 36. Determine t so that d(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b\/(b\/((b\/b**(19\/2))\/b)))\/b)\/b*b\/b**(-11)*(b*b*b*b**(-1\/8)*b)**(4\/3) assuming b is positive.\nAnswer: b**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/20*48\/(-36)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-2 + -2 + sqrt(684) - sqrt(684)) + ((2 + sqrt(684))*-2 - sqrt(684)) + sqrt(684)))**2.\nAnswer: 1728*sqrt(19) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t + 54533 = 2*h, -3*h + 4*t = -81834. Let w = 38213 - h. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.44, -95?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46.99916 + -47. What is d rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 5*u - 5 = -5*g, -5*g - 35 = 5*u. Suppose -w - 4 = -2*w. Sort g, 0, w in ascending order.\nAnswer: g, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 20, 0 = -3*v - 0*i - 4*i - 14. Solve 3*r**2 - 4*r**3 - 3*r - v + 7*r**3 + 1 - 2 = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(176) + sqrt(176) + 1 + sqrt(176))*-6*1 + -3)**2.\nAnswer: 576*sqrt(11) + 57040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, s: 2}. Give prob of sequence xxsx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 7*v = 5 + 26, -12*s + 3*v = -59 - 394 for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.26, 76\/9, -5\/4, 0.3 in decreasing order.\nAnswer: 76\/9, 7, 0.3, -0.26, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/4*136\/12. Suppose 31 + 3 = q*w. Solve 5*l + 10 = 0, 5*d + 1 - w = 3*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + (-5)\/3)*(-16 + 22). Solve x*b + 8 - 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4221892*a**4 - 1013254088*a**3\/5 - 13108975044*a**2\/5 - 22333813648*a\/5 - 8464\/5 = 0?\nAnswer: -23, -2, -2\/5277365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(3393\/754)\/(162\/8)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2503, -2503, -2513, -2539, -2587, -2663?\nAnswer: -2773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*t**3 + 2*t + 12*t**2 - 36*t**2 + 16*t**2 + 10*t**2 - 3*t in the form h*t + a + f*t**2 + v*t**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 16882186.65 to the nearest one hundred thousand.\nAnswer: 16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4054, -4030, -3982, -3898, -3766, -3574, -3310?\nAnswer: -2962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 707548 divided by -176887.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 415 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - 24 - (9 + -2)) + -18 + -8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t - 3. Suppose 0 = l + 2 + 1. Let f be p(l). Let n = f + 16. Calculate the remainder when n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 665072247*m**2 + 29640333*m + 3 wrt m?\nAnswer: 1330144494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 - 45\/6. Let v = -2 - y. Let h(d) = d**2 - 6*d - 7. Give h(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 - 2 = -3*l, 5*l - 3 = -4*c. Suppose 9 = 4*a - a. Suppose -a*p - 2*i = 2*p - c, 0 = 2*i + 8. Calculate the remainder when 5 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 219\/52 or 3?\nAnswer: 219\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -48.3. Let j be (-3 - 1)*19\/(-57). Which is the closest to r? (a) -4 (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from {f: 7, z: 3, m: 2}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -1093200 and 152.788.\nAnswer: -1093047.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a + t - 545 - 381 = 36*a + 168*a - 35, -a - 25 = 5*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*t + 106*t + 11903 - 734.\nAnswer: -4*t + 11169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.54 - 0.74. Which is the biggest value? (a) 0.1 (b) f (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21 + 14 + 8*z**4 - 22*z**4 wrt z?\nAnswer: -56*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4 = 4. Suppose -104*l + 99*l + 50 = d. Suppose 25\/2*n**2 + 2 + l*n = 0. Calculate n.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -8. Suppose f*h - 5 = -3*h. Solve 0 = -3*m - 4*i - 10, -2*i = 1 + h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00056249179 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37152*l - 16455*l - 10343*l - 10351*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 10 = -22. Suppose 4*x = 21 + 139. Suppose -40 = -5*p + 4*i, b = -4*p - 3*i + x. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**6\/120 - o**5\/6 + o**4\/24 + o**3 - o**2 + 261. Let x = 50 - 60. Determine b(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 8*g**2 - 2*g - 9. Let l be z(-8). Let p be (-6)\/42 - (-57)\/l. What is the highest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6636 and 504.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5746, -11475, -17224, -22999, -28806?\nAnswer: -34651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5496\/4433 - -38\/31. Let s = -1 - 0. Which is bigger: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -11*b + 98. Let r be h(8). Let f(l) = 19*l**2 + r*l**2 - 71*l**2 + 45*l**2. Let z(s) = 11*s + 1. Determine z(f(k)).\nAnswer: 33*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000708999 rounded to six decimal places?\nAnswer: 0.000709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 - 6*n + 5. Let w(z) = -z**2 - z + 1. Let q = 36 + -31. Give q*w(k) - l(k).\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.07 - -1.37. What is the closest to -8 in 1, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 646149 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12413 - 12414. Let d be (1\/6)\/(3\/(-6)). What is the nearest to n in 0, d, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1629909560 divided by 9105640\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -49*x**5\/10 - x**3\/3 + x**2\/2 + 27*x. What is the second derivative of s(w) wrt w?\nAnswer: -588*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.5803ns to milliseconds.\nAnswer: 0.0000995803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4 + 1. Let t(j) = 3*j**2 - j - 1. Let f be t(d). What are the prime factors of (-10*(f - -2))\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3989259*b**3*t + 3*b**3 + 747567*b**2 + b wrt t.\nAnswer: -3989259*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -184 and 36571.\nAnswer: 36387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 39, 203 in descending order.\nAnswer: 203, 39, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/6*(0 - 0). What is the third smallest value in 2\/9, k, -8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - 1*sqrt(72))*-5 + 2*(sqrt(72) - (-1*sqrt(72) + sqrt(72))))\/((sqrt(32) + sqrt(3872)*2 - sqrt(32))\/((sqrt(768) + sqrt(48))\/sqrt(6))).\nAnswer: 15*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1070?\nAnswer: -1\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00045176 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -1 - (-13 - -14)) + 7 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - x**2)*(-x**2 - 3*x**2 + x**2) + 4*x**4 + 0*x + 0*x.\nAnswer: 7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2 + 14*u - 2. Let r be 0 - ((-14)\/10 + 3\/(-5)). Let h(v) = 2 + 35391*v**r - 2 - 35396*v**2. What is o(h(w))?\nAnswer: -70*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 3*m + 50. Solve 0*h + 3*s = m*h - 1, 3*h - s = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 1:15 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 2. Let u(n) = 5*n**2 + 31*n + 116. Let k(a) = -u(a) - 4*z(a). What is the least common multiple of 4 and k(-8)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(45))**2 + sqrt(45) + 4 - -4*(-3 + sqrt(245)).\nAnswer: 31*sqrt(5) + 1612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -1a5120e?\nAnswer: -1a51210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*d - 87*d + 176*d + 7652 = 0. What are the prime factors of d?\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10178180 divided by -4\nAnswer: -2544545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 71330 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(7\/2 - 1). Let i(g) = -g**3 - 4*g**2 + 4*g - 4. Let p be i(q). Is 866\/14 + p\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**3\/7 + 31412*c**2\/7 + 245353840*c\/7 - 2975994048 = 0.\nAnswer: -15748, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvvcvv. What is prob of sequence vvc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 630512 (base 7) to base 8\nAnswer: 323413","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 18 - 66064755304\nAnswer: -66064755286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*h**2 + 25*h - 548*h**2 - 51*h**2 - h**3.\nAnswer: -h**3 - 366*h**2 + 25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czm when three letters picked without replacement from mcz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, w: 8}. What is prob of picking 1 w and 1 m?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5852 and 42?\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19028 or 318?\nAnswer: -19028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 321 = -t - 61, 2*t - 536 = -2*r. Suppose 10*y - 5*y = t. Let q = 102 - y. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9348903 plus 3403?\nAnswer: -9345500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3775, -15489, -35533, -64333, -102315, -149905?\nAnswer: -207529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358802?\nAnswer: 2, 3, 25163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34761 is divided by 33788?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o**2 + 10*o**2 + 15*o**2 + (0*o - 4*o + 3*o)*(2*o - 5*o + o) - 6*o**2 + 2*o**2 + o**2)*(3*o - 14*o + 6*o).\nAnswer: -75*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -381703 * 3\nAnswer: -1145109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116962.\nAnswer: 2, 7, 11, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + -5.8. Let g = 38 + -37. Let y = 0.98 - g. Put -1\/3, y, k in descending order.\nAnswer: y, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*b - 0*v + 2, -5*v + 35 = 3*b. Suppose -b*y + 0 = -20. Suppose m + y*m - 5 = 0. Solve 0 = -2*a + 5*k - m, k + 1 = -0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*y + 30, 3*y + 1 = 4*j - 5*j. Let r(d) = -d**3 - 2*d**2 - 17*d - 31. Determine r(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192165829 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q = 15*q + 34*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 81*c - 10. Let v be n(5). Suppose v = 5*d - 0*a + 5*a, -5*d + 435 = -3*a. Suppose 5*w - 70 = -5*z, 4*z + d = 3*w + 21. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*y + 15*y + 336. Suppose -12417 - 11845 = -y*z. Is z a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12771 divided by -4257?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p + 3. Let q(y) = 12*y - 10. Determine 7*h(b) + 2*q(b).\nAnswer: -4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r + 8. Let z(h) = h. Let n(y) = u(y) - 3*z(y). Let d(w) = w**2. Determine d(n(g)).\nAnswer: g**2 - 16*g + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 2*h**6\/15 + h**5\/5 - h**4 - 2*h**3\/3 + 4*h**2 - 122*h. Factor a(y).\nAnswer: 4*(y - 1)**2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7353346.7 rounded to the nearest one thousand?\nAnswer: -7353000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9831618?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -8 - (-43 + (0 - -1))) + -7?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 6:44 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*m + 74468274296 - 74468274296.\nAnswer: -356*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6847321 to the nearest integer?\nAnswer: 2617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 17527500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 164*b**3 - 298*b**3 + 3*b**2 + 164*b**3 + (2*b - 3 + 3)*(4 - 4 + 3*b**2) as z*b + m*b**2 + p + s*b**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3.8, -0.3 in increasing order.\nAnswer: -3.8, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 0*o**4 + 0*o + 24*o**2 + 0 + 143\/6*o**3 - 143\/60*o**5. Differentiate b(q) wrt q.\nAnswer: -286*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-12005\nAnswer: -48020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2866.33 + -465.\nAnswer: 2401.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2016774 divided by -3.\nAnswer: -672258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2822 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-4)\/l*l)))**3\/((l**6*l)\/l**6))**(9\/10) assuming l is positive.\nAnswer: l**(-117\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-22) + (-384)\/(-66). Let m = -1\/55 - -64\/495. What is the second biggest value in m, -2, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/(-20)*10*36\/(-5). Suppose -2*n + u = n. Let b be -1*(-3 + 2) + n. What is b rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -210 + 579. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21313 (base 5) to base 9.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77 + 12 + 13)*(-u + u - 2*u).\nAnswer: 104*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22359*c - 26342 wrt c?\nAnswer: 22359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.2. Let r = 0.342 + 2.72. Let i = 0.062 - r. Sort g, i, -2.\nAnswer: i, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3704502 in 0, 0.2, 0.1, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 51\/85 + 401\/15. Let j = i - 136\/5. Let -8\/15*k - j*k**2 - 8\/15 = 0. Calculate k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 + 21*q**2 - 6*q - 37. Suppose i + 4 + 13 = 5*f, 2*f + 5*i = 23. Calculate the remainder when f is divided by o(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 12*h - 40 = 0. Let x = 7.8 + -5. Let q = x + -3. Which is the third smallest value? (a) q (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {t: 1, v: 6, k: 1, i: 1, l: 1, x: 6}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 4. Let t be i(0). Let g(p) = -2687*p**2 + 3*p + 4. Let n be g(t). Round n to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -3 (c) 6.4 (d) -2\/3 (e) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*n - 8, 0 = 4*z + z - 3*n - 18. Suppose -4*g - 4*t = t - 15, 0 = t - z. Solve -3*m + 5*m = g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179392769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 679, 730, 781?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2. Let r(m) = 2 + 480*m + 650*m + 0 + 194*m - 167*m. What is r(k(x))?\nAnswer: -2314*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 34608997.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2588.1897 * -0.08\nAnswer: -207.055176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/104 and -53\/39.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4746840 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 31\/10 + (0 - 1). Let t be (138\/30 - 2) + -2. Let u = t - r. Is u at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 183, 751, 1707, 3057, 4807, 6963, 9531?\n\"Answer: n**3 + 188*n**2 - 3*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i + 3*w - 0, w - 29 = -4*i. Suppose 9*h - 2 = i. Let k(j) = 6*j**3 + 1 + 3*j - j - 3*j. Calculate k(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**22*u*u\/u**(-13\/3))\/(u\/(u\/(u\/u**17))*u**(12\/7)\/u) assuming u is positive.\nAnswer: u**(34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*s + 92*s - 8892 = 0. Solve 43*o - 5*o = -s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*v + 3*v = -82, -4*v - 128 = -5*h. Let w be -3*(h\/(-9) - -3). What is the units digit of ((-2)\/(-4))\/(w\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*g**3 + 119*f*g**2 - 103049*f - 79203*g**3 + 3*g - 3 wrt g.\nAnswer: 6*f*g + 238*f - 475218*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -12*x - 2*x + 7*x**2 + 13*x. Is 5 a factor of k(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 + 0. Let o = 1.2025 - x. What is o rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 126, 190, 254?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2348, 4702, 7056, 9410, 11764, 14118?\n\"Answer: 2354*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 + -6)\/(1 - 0). Let q be 0\/(3 + -5 + h). Let d be (1 + 2\/(-3))*q. Round d to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 26*w - 111. Let b be o(6). Let m(s) be the first derivative of s**4\/4 - 3*s**3 + 3*s**2\/2 - 23*s + 1. What is the units digit of m(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535*i - 3743 = 300 - 833. Suppose v + 11 = -0. Let u(w) = 2*w - 6*w - 3*w + 13. Let j(s) = 4*s - 7. What is i*u(r) + v*j(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = y, -5*y + 22 = -0*y + 4*t. Suppose 2 = -4*x + 14. Solve -y*w - 2*q = -4 - 2, w - q = x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349375.2 + 282521.69?\nAnswer: -66853.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 14 = -4*d - g, 4*d = 3*g + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 11. Let p(f) = f**2 - f - 1. Let a(x) = -x**3 - x**2 + 4*x + 7. Let c(t) = -a(t) - 5*p(t). Determine c(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 128*z**2 + 1417*z + 2828. Calculate b(-116).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2073 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6 + 12865*h - 21522*h + 12558*h + 0 as s + n*h and give n.\nAnswer: 3901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52334, 51880, 51416, 50936, 50434, 49904, 49340, 48736?\nAnswer: 48086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**4\/12 - r**3 + 5*r**2\/2 + 25*r\/3 + 2. Suppose v(g) = 0. What is g?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 208 + 392 = 0. What is the highest common factor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4920 (base 11) in base 10?\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 4. Let c = -74 + 73. Let r be -12*c\/2*4\/3. Give f(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 + 92 = -2*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 12*c**3 - 11*c**3 + 0 - 6*c**2 + 18*c - 5 - 11*c. Give l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mer when three letters picked without replacement from oommomoroooemoor?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*g = -125, 89*g - 99 = -3*t + 92*g. Solve -t - 31 = 21*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93 in -1\/7, -6, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3070*c**3 - 2410*c**3 - 93*c**3 - 1999*c**3.\nAnswer: -7572*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 12:29 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -17*r**2 - 8*r. Let s(o) = 11*o**2 + 5*o. Let x(d) = 5*c(d) + 8*s(d). Let a(f) = -f**2. What is x(a(t))?\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiiirii. Give prob of sequence ri.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1400 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 + 19 - 12*o**3 + 12*o + 13*o**3 + 0.\nAnswer: o**3 + 12*o + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3 + 12582*b**2 + 50376*b = 0. Calculate b.\nAnswer: -4, 0, 4198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*c**2*t**3*w + 363*c**2*t*w + 2*c**2*w**2 - 2*c*t**2 + 36*t**3*w**2 - 80*t**3*w + 3*t**2*w**2 - 2*w**2 wrt t.\nAnswer: -336*c**2*w + 216*w**2 - 480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6 + 440\/(-72) + (3 - 460\/(-144)) and 77\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.6313 - -2.6328. Let b = -1.4 - 5.6. Let x = p - b. What is x rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 7*r + 1. Let g be u(-5). Let o(c) = -7*c + 2. Let a = -3 + 1. Let z be o(a). Calculate the highest common factor of z and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -13*m**3 + 23*m**2 - 51*m + 25. Let v(q) = 23*q**3 - 47*q**2 + 102*q - 50. Let o(l) = -8*v(l) - 14*y(l). Suppose o(h) = 0. What is h?\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436\/5*b**2 - 2\/5*b**3 + 0 - 23762\/5*b = 0 for b.\nAnswer: 0, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 7*c + 280 = 0. Let o = c - -39. Find the third derivative of -11*a**2 + 9*a**o - 25*a**4 + 0*a**4 wrt a.\nAnswer: -384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -38. Let k be (3\/2)\/(15\/40). Suppose u + 3*i = -k + 31, 0 = -2*i + 10. Calculate the remainder when b is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/25)\/((-2)\/(-70)). Suppose 0 = -2*d - 3 + q. Let w = 9 + d. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1633, -3231, -4799, -6343, -7869?\nAnswer: -9383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**5\/6 + 109*s**4\/6 + 211*s**3\/6 - 107*s**2\/2 = 0?\nAnswer: -107, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 20402.715.\nAnswer: 20403.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 13*l - 1 + 5*l - l - 3*l + (-3 + 3 + 2)*(-4 + 4 - l))*(3 - 1 + 2).\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4934957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*q**4 + 143*q**2 - 2015531*q wrt q.\nAnswer: -720*q**2 + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + (sqrt(15)\/sqrt(3) + sqrt(5))**2 + -1) + (1 + -1*sqrt(5) - (sqrt(5) + sqrt(55)\/sqrt(396))).\nAnswer: -65 - 13*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbqq when four letters picked without replacement from {q: 5, b: 8}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1354 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84818669?\nAnswer: 13, 6524513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8191292*z**2. Let d(v) = -6*v. What is d(k(j))?\nAnswer: 49147752*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 200066 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000644781 rounded to 7 dps?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.115 - -0.085. Which is the second biggest value? (a) 0.3 (b) -11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49.5 + -58. Let m = t - -10.5. Which is the second smallest value? (a) -13 (b) m (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1451, -2884, -4305, -5708, -7087?\nAnswer: -8436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kndzdkncdddndckn.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -141 = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 2*b + 0*b)*(-3*b - b + 13*b) in the form q + o*b + c*b**2 and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4331438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5081, -11522, -17963, -24404?\n\"Answer: -6441*u + 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1416400 is divided by 1553.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 7*r - 258. Let v be q(19). Is v at least -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}